# What is the LCM of 40, 56 and 60?

The least common multiple of 40, 56 and 60 is the smallest number that is the multiple of 40, 56 and 60.

## Answer: LCM of 40, 56 and 60 is 840

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.

## Explanation:

We will explain two methods to find the LCM of 40, 56 and 60

- LCM of 40, 56 and 60 by Common Division Method
- LCM of 40, 56 and 60 by Listing Multiples Method

### Method 1: LCM of 40, 56 and 60 by Common Division Method

In this division method, we start dividing the numbers simultaneously with prime numbers and stop the process when we don't have a prime number to divide the given numbers.

### Method 2: LCM of 40, 56 and 60 by Listing Multiples Method

Follow the steps given below to find the LCM (40, 56, 60)

**Step 1:**List the few multiples of 40, 56 and 60**Step 2:**Identify the common multiples of 40, 56 and 60**Step 3:**LCM of 40, 56 and 60 is equal to the least number among the common multiples of 40, 56 and 60

So, the least common multiple of 40, 56 and 60 is 840.

Clearly, the answer to LCM of 40, 56 and 60 is the same in both methods.