# What is the LCM of 4, 6 and 7?

To find the LCM of 4, 6 and 7, we need the least number which is exactly divisible by both 4, 6 and 7.

## Answer: LCM of 4, 6 and 7 is 84

The Least Common Multiple (LCM) of three numbers a, b and c is the smallest number that is divisible by a, b, and c exactly.

## Explanation:

We will explain two methods to find the least common multiple of 4, 6 and 7.

- LCM (4, 6, 7) by Common Division Method
- LCM (4, 6, 7) by Listing Method

### Method 1: LCM of 4, 6 and 7 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.

LCM of 4, 6 and 7 = 84

### Method 2: LCM of 4, 6 and 7 by Listing Method

We will list the first few multiples of 4, 6 and 7 and find the common multiples of 4, 6, and 7

Clearly, 84 is the least common multiple of 4, 6 and 7. So, LCM of 4, 6 and 7 is 84

Observe that the solution to our question LCM of 4, 6 and 7 is the same in both methods.