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29 Dec 2025
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HCF and LCM for Kids: Easy HCF Questions, Examples, and Prime Factorization Worksheets
Aoife Kelly
@aoifekelly_wduv
Exploring Lowest Common Multiple (LCM)
The Lowest Common Multiple (LCM) is another crucial concept in mathematics, often paired with HCF in HCF and LCM notes. It's particularly important for LCM by prime factorization method Questions and answers.
Definition: LCM is the smallest number that is a multiple of two or more numbers.
To find the LCM, we can use the prime factorization method, which is especially useful for LCM by prime factorization method of 3 numbers or more.
Example: Find the LCM of 3 and 4
3 = 3 4 = 2²
The LCM will include the highest power of each prime factor, so LCM = 2² × 3 = 12
Example: Find the LCM of 24 and 36
24 = 2³ × 3 36 = 2² × 3²
The LCM will include the highest power of each prime factor, so LCM = 2³ × 3² = 72
This method is particularly useful for LCM calculation using prime factors GCSE level problems.
Example: Find the LCM of 18 and 30
18 = 2 × 3² 30 = 2 × 3 × 5
The LCM will include the highest power of each prime factor, so LCM = 2 × 3² × 5 = 90
For more complex problems, such as those found in Finding LCM using prime factorization worksheets, we can tackle larger numbers:
Example: Find the LCM of 96 and 690
96 = 2⁵ × 3 690 = 2 × 3 × 5 × 23
The LCM will include the highest power of each prime factor, so LCM = 2⁵ × 3 × 5 × 23 = 11,040
These examples demonstrate how to find the lcm by prime factorization method for various number combinations, preparing students for more advanced mathematical concepts and problem-solving techniques.
Understanding Highest Common Factor (HCF)
The Highest Common Factor (HCF) is a fundamental concept in mathematics, particularly important for HCF questions for Class 5 and above. It represents the largest whole number that divides two or more numbers without leaving a remainder.
Definition: HCF is the largest factor common to a set of numbers.
To find the HCF, we can use prime factorization, which is an efficient method to find HCF quickly. Let's look at some examples to understand this better.
Example: Find the HCF of 24 and 60
We start by breaking down each number into its prime factors: 24 = 2 × 2 × 2 × 3 60 = 2 × 2 × 3 × 5
The common factors are 2 × 2 × 3, so the HCF = 2 × 2 × 3 = 12
Example: Find the HCF of 540 and 630
Using prime factorization: 540 = 2² × 3³ × 5 630 = 2 × 3² × 5 × 7
The common factors are 2 × 3² × 5, so the HCF = 2 × 3² × 5 = 90
This method can be extended to find the HCF of 3 numbers or more, making it versatile for various HCF questions for Class 6 and Class 7.
Example: Find the HCF of 945 and 825
945 = 3³ × 5 × 7 825 = 3 × 5² × 11
The common factors are 3 × 5, so the HCF = 3 × 5 = 15
Understanding these examples and practicing with various numbers will help students master HCF method examples and prepare them for more complex mathematical concepts.
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Anna
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Thomas R
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Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
HCF and LCM for Kids: Easy HCF Questions, Examples, and Prime Factorization Worksheets
Aoife Kelly
@aoifekelly_wduv
The HCF (Highest Common Factor) and LCM(Lowest Common Multiple) are fundamental concepts in mathematics. HCF is the largest factor common to a set of numbers, while LCM is the smallest number that is a multiple of two or more... Show more
Exploring Lowest Common Multiple (LCM)
The Lowest Common Multiple (LCM) is another crucial concept in mathematics, often paired with HCF in HCF and LCM notes. It's particularly important for LCM by prime factorization method Questions and answers.
Definition: LCM is the smallest number that is a multiple of two or more numbers.
To find the LCM, we can use the prime factorization method, which is especially useful for LCM by prime factorization method of 3 numbers or more.
Example: Find the LCM of 3 and 4
3 = 3 4 = 2²
The LCM will include the highest power of each prime factor, so LCM = 2² × 3 = 12
Example: Find the LCM of 24 and 36
24 = 2³ × 3 36 = 2² × 3²
The LCM will include the highest power of each prime factor, so LCM = 2³ × 3² = 72
This method is particularly useful for LCM calculation using prime factors GCSE level problems.
Example: Find the LCM of 18 and 30
18 = 2 × 3² 30 = 2 × 3 × 5
The LCM will include the highest power of each prime factor, so LCM = 2 × 3² × 5 = 90
For more complex problems, such as those found in Finding LCM using prime factorization worksheets, we can tackle larger numbers:
Example: Find the LCM of 96 and 690
96 = 2⁵ × 3 690 = 2 × 3 × 5 × 23
The LCM will include the highest power of each prime factor, so LCM = 2⁵ × 3 × 5 × 23 = 11,040
These examples demonstrate how to find the lcm by prime factorization method for various number combinations, preparing students for more advanced mathematical concepts and problem-solving techniques.
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Improve your grades
Join milions of students
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Understanding Highest Common Factor (HCF)
The Highest Common Factor (HCF) is a fundamental concept in mathematics, particularly important for HCF questions for Class 5 and above. It represents the largest whole number that divides two or more numbers without leaving a remainder.
Definition: HCF is the largest factor common to a set of numbers.
To find the HCF, we can use prime factorization, which is an efficient method to find HCF quickly. Let's look at some examples to understand this better.
Example: Find the HCF of 24 and 60
We start by breaking down each number into its prime factors: 24 = 2 × 2 × 2 × 3 60 = 2 × 2 × 3 × 5
The common factors are 2 × 2 × 3, so the HCF = 2 × 2 × 3 = 12
Example: Find the HCF of 540 and 630
Using prime factorization: 540 = 2² × 3³ × 5 630 = 2 × 3² × 5 × 7
The common factors are 2 × 3² × 5, so the HCF = 2 × 3² × 5 = 90
This method can be extended to find the HCF of 3 numbers or more, making it versatile for various HCF questions for Class 6 and Class 7.
Example: Find the HCF of 945 and 825
945 = 3³ × 5 × 7 825 = 3 × 5² × 11
The common factors are 3 × 5, so the HCF = 3 × 5 = 15
Understanding these examples and practicing with various numbers will help students master HCF method examples and prepare them for more complex mathematical concepts.
We thought you’d never ask...
What is the Knowunity AI companion?
Our AI Companion is a student-focused AI tool that offers more than just answers. Built on millions of Knowunity resources, it provides relevant information, personalised study plans, quizzes, and content directly in the chat, adapting to your individual learning journey.
Where can I download the Knowunity app?
You can download the app from Google Play Store and Apple App Store.
Is Knowunity really free of charge?
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
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Most popular content in Maths
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Can't find what you're looking for? Explore other subjects.
Students love us — and so will you.
4.9/5
App Store
4.8/5
Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user