Another Method to calculate LCM
Division method is another method to find the L.C.M. of numbers.

  1. First we will write the numbers in ascending order.
  2. Now we will divide the numbers with a common prime factor and continue the same till the time it is possible.
  3. We multiply all common prime factors and numbers obtained in last row to get the LCM.

Remember if a number is not divisible by this prime number, then write the number as it is
Let’s take an example to understand it:
 
Example 1: Find the L.C.M. of 24, 18 and 36?
Solution:
Step 1: We arrange given numbers in ascending order i.e. we write as 18, 24 and 36.
Step 2: Here the common prime factors are 2 and 3. So we divide as shown in table below till the time it is possible.
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Step 3: We multiply all common prime factors and numbers obtained in last row to get LCM= 2x2x3x3x2=72
 
Example 2: Find the L.C.M. of 60, 16 and 48?
Solution:
Step 1: We arrange given numbers in ascending order i.e. we write as 16, 48 and 60.
Step 2: Here the common prime factors are 2 and 3. So we divide as shown in table below till the time it is possible.
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Step 3: We multiply all common prime factors and numbers obtained in last row to get LCM= 2x2x3x4x5=240




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