# What is the LCM of 4, 8 and 16?

LCM of 4, 8 and 16 is the least number which divides 4, 8 and 16 without leaving any remainder.

## Answer: LCM of 4, 8 and 16 is 16

We will see two methods to find LCM of 4, 8 and 16.

## Explanation:

Least Common Multiple of 4, 8 and 16 is the smallest number that exactly divides 4, 8 and 16.

- LCM of 4, 8 and 16 by Common Division Method
- LCM of 4, 8 and 16 by Listing Common Multiples

### Method1: LCM of 4, 8 and 16 by Common Division Method

In this division method, we divide the numbers 4, 8, 16 with prime numbers, and until no more number is left to divide either of 4, 8, 16.

So, by this method, we have LCM (4, 8, 16) = 16

### Method2: LCM of 4, 8 and 16 by Listing Common Multiples

Look at the multiples of 4, 8 and 16

Multiples of 4 = 4, 8, 12, 16, 20, 24, ...

Multiples of 8 = 8, 16 , 24 , 32 , ...,

Multiples of 16 = 16, 32, 48, 64, ...

Least Common Factor of 4, 8, and 16 = 16

So, LCM of 4, 8 and 16 = 16