# How to Quickly Calculate Lowest Common Multiple and Highest Common Factor Using Worksheets

Trying to calculate the lowest common multiple and highest common factor of two or more numbers can be a time-consuming task, but with the help of these straightforward worksheets you can find the answer in no time. In this guide, we'll show you how to quickly calculate both LCM and HCF using these easily accessible worksheets.

Determine the LCM and HCF of the given numbers.

In order to calculate the LCM and HCF of the given numbers, first organize the data in a chart with the numbers listed in an organized fashion. Next, break each number down into its prime factors. Once each number has been broken down into its prime factors, you can use these to determine the LCM or HCF. For example, if you're looking for the LCM of 24 and 36, you would need to multiply together the common factors shared between those two numbers. The LCM would then be 2 x 2 x 2 x 3 = 24.

Find the prime factors of each number.

The next step involves finding the prime factors of each number. To do this, divide the given number with the smallest possible prime factor (2, 3, 5 and so on) until the remainder is smaller than 2 or it cannot be divided any further. Once all prime factors have been identified for each of the given numbers, it's much easier to calculate either the LCM or HCF.

Use the prime factorization method to calculate the LCM and HCF values.

The prime factorization method is the simplest way to calculate both the LCM and HCF of given numbers. To do this, we will have to identify the prime factors of each number, then multiply them together to determine the common multiple or common factors, depending on which one you are looking for. For example, if we are calculating the lowest common multiple (LCM) of 12 and 15, we would have 2 x 2 x 3 and 3 x 5 for 12 and 15 respectively. When multiplied together, this produces a LCM value of 60.

Discover the fascinating world of numbers with our comprehensive HCF and LCM worksheets, designed to help you master the concepts of Lowest Common Multiple (LCM) and Highest Common Factor (HCF). What is LCM and HCF, you ask? LCM refers to the smallest multiple that two or more numbers share, while HCF is the largest factor they have in common.

Our meticulously crafted HCF and LCM worksheets provide ample practice in solving problems related to these essential mathematical concepts. Delve into our extensive collection of lowest common multiple and highest common factor worksheets that cater to learners of all skill levels. With our engaging worksheet on HCF and LCM, you'll soon become proficient in these vital number concepts, making your mathematical journey smoother and more enjoyable. So why wait? Start exploring our HCF and LCM worksheets today!

FAQs

1. What is the least common multiple of 8 and 6? The least common multiple (LCM) of 8 and 6 is 24.

2. What is the least common multiple of 6 and 9? The LCM of 6 and 9 is 18.

3. What is the least common multiple of 4 and 6? The LCM of 4 and 6 is 12.

4. What is the least common multiple of 8 and 10? The LCM of 8 and 10 is 40.

5. What is the least common multiple of 9 and 15? The LCM of 9 and 15 is 45.

6. What is the least common multiple of 8 and 3? The LCM of 8 and 3 is 24.

7. What is the least common multiple of 7 and 9? The LCM of 7 and 9 is 63.

8. What is the least common multiple of 7 and 6? The LCM of 7 and 6 is 42.

9. What is the least common multiple of 7 and 8? The LCM of 7 and 8 is 56.

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