Another Method to calculate LCM
Division method is another method to find the L.C.M. of numbers.
- First we will write the numbers in ascending order.
- Now we will divide the numbers with a common prime factor and continue the same till the time it is possible.
- 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.
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.
Step 3: We multiply all common prime factors and numbers obtained in last row to get LCM= 2x2x3x4x5=240
