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# How to Find LCM by using the Division Method?

August 22, 2022
written by Azhar Ejaz

The least common multiple (LCM) of numbers can be determined using a different method. There are three methods to calculate the least common multiple of two numbers.

In This article how to find LCM by using the division Method.

## How to find LCM by using the division Method?

In order to determine the LCM by the division method, we divide the numbers by a common prime number, and these prime factors are used to find the LCM of those numbers. Let us learn this method using the steps given below:

Step 1: calculate a prime number that is a factor of at least one of the given numbers.  The prime number writes this on the left of the given numbers.

Step 2:if the prime number in step 1 is a factor of the number, then divide the number by the prime and write the quotient below it. If the prime number in step 1 is not a factor of the number, then the number write in the row below as it is. Continue the process until 1 is left in the last row.

Let us understand this method using the example given below.

Example: calculate the least common multiple (LCM) of 8 and 15 using the division method.

Solution: Let us calculate the least common multiple (LCM) of 8 and 15 using the division method using the steps given below.

Step 1: 2 is the smallest prime number and it is a factor of 8. Write 2 on the left of the two numbers. For each number in the right column, continue calculating out prime numbers which are their factors.

Step 2: 2 divides 8 but it is not a factor of 15, so we write the number 15 in the row below as it is. Continue the process until 1 is left in the last row. Then, we divide 3 and 15 by 3. This gives us 1 and 3. Now, again we write 5 on the left side and we finally get 1, 1 as the quotient in the last row.

Step 3: Then we multiply these numbers on the left. The Least Common Multiple (LCM) is the product of all these prime numbers.

LCM of 8 and 15 is;2x2x2x3x5=120

Though we have three various methods to calculate the least common multiple, the division method is the most common and easy method that we use.

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