# What is the LCM of 12, 18 and 20?

LCM of 12, 18 and 20 is the smallest number which divides 12, 18 and 20 exactly without a remainder.

## Answer: LCM of 12, 18 and 20 is 180

## Explanation

For 12, 18 and 20 the smallest number which would be perfectly divisible by them is their LCM which is 180.

### LCM of 12, 18 and 20 by Listing Method

List the first few multiples of 12, 18 and 20 and find the common multiples.

Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, **180**, 192, 204

Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162, **180**, 198, 216

Multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160, **180**, 200, 220

The smallest among the common multiples is the LCM of 12, 18 and 20, which in the above case we can see is 180. So, LCM (12, 18, 20) = 180

### LCM of 12, 18 and 20 by Common Division Method

Here we will divide the numbers 12, 18 and 20 simultaneously with prime numbers until we don't have a prime number to further divide 12, 18 and 20.

So, using common division method, we have LCM (12, 18, 20) = 180