# What is the LCM of 9, 12 and 15?

LCM of 9, 12 and 15 is the smallest number exactly divisible by all of them.

## Answer: LCM of 9, 12 and 15 is 180

Lets see how to find the LCM of 9, 12 and 15

## Explanation:

Least Common Multiple of 9, 12 and 15 is the smallest number, which is exactly divisible by all of them without any remainder.

Let us see how to calculate it below:

## Methods to Find LCM of 9, 12 and 15

### LCM of 9, 12 and 15 by Division Method:

In this division method, we divide 9, 12 and 15 simultaneously with prime numbers and stop it when we don't have a prime number to divide them further.

### LCM of 9, 12 and 15 using Common Multiples:

Multiples of 9 = *9*, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180

Multiples of 12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180

Multiples of 15 = 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180

Commmon Factor = 180

LCM of 9, 12 and 15 = 180

### Therefore, LCM of 9, 12 and 15 is 180.

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