# What is the LCM of 6, 7, and 8?

LCM of 6, 7, and 8 is the smallest number exactly divisible by 6, 7 and 8

## Answer: LCM of 6, 7, and 8 is 168

Let's find the LCM of 6,7 and 8

## Explanation:

Least Common Multiple of 6, 7 and 8 is the smallest number which is exactly divisible by all of them without any remainder. Let us see how to calculate LCM of 6, 7 and 8

## Methods to Find LCM of 6, 7 and 8

### LCM of 6, 7 and 8 by Listing the factors

In this method, we list all the 6, 7 and 8 simultaneously with prime numbers and stop it when we don't have a prime number to divide them further.

### LCM of 6, 7 and 8 using Common Multiples

Let's list out the factors of 6, 7 and 8 and check out the smallest number common among them.

Multiples of 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162, **168**, 174, 180, 186,..

Multiples of 7= 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105**168 **,..

Multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160, **168**,...

Clearly, 168 is the least common factor of 6, 7 and 8

LCM of 6, 7 and 8 = 168