# Find the LCM of 6, 12 and 15

For Three integers a , b and c denoted LCM(a,b,c), the LCM is the smallest positive integer that is evenly divisible by all the three numbers a , b and c

## Answer: The LCM of 6,12 and 15 is 60

Let us see how to find the LCM of 6,12 and 15

## Explanation:

We can find the LCM of 6,12 and 15 in multiple ways

Let's look into the common division method used as shown below

The numbers are divided simultaneously till the end and then the product of the factors are found to calculate the LCM

Thus, the LCM of 6,12 and 15 is 60

Let's use the listing of common multiples approach to calculate the LCM

The mulpiles of 6,12 and 15 are listed down below

Multiples of 6: 6 , 2, 18, 24, 30, 36, 42, 48, 54, 60

Multiples of 12: 12, 24, 36, 48, 60

Mulltiples of 15: 15, 30, 45, 60

Thus, the first multiple which is common to all the three numbers is 60