# What is the LCM of 4, 8, and 10?

The LCM of 4, 8, and 10 is the least number which is divisible by all the numbers 4, 8, and 10 without leaving any remainder.

## Answer: LCM of 4, 8, and 10 is 40

The Least Common Multiple (LCM) of three numbers a, b and c is the smallest number which is divisible by a, b and c exactly without leaving any remainder.

## Explanation:

The two methods that we are using to find LCM(4, 8, 10) are shown below.

- LCM of 4, 8, and 10 by Listing the Common Factors
- LCM of 4, 8, and 10 by Common Division Method

### Method1: LCM of 4, 8, and 10 by Listing Method

We will list out the first few multiples of 4, 8, and 10 and determine the common multiples of 4, 8, and 10.

The least among the common multiples is the LCM (4, 8,10).

Here, 40 is the least common multiple of 4, 8, and 10.

LCM (4, 8,10) = 40

### Method 2: LCM of 4, 8, and 10 by Common Division Method

In this division method, we divide the numbers 4, 8, and 10 simultaneously with prime numbers and stop the dividing process when we don't have a prime number to divide either of 4, 8, and 10.

By using any of the above two methods, the answer to LCM of 4, 8, and 10 is the same.