# What is the LCM of 3, 4, and 7?

The least common multiple of 3, 4, and 7 is the smallest number that is the multiple of 3, 4 and 7

## Answer: LCM of 3, 4, and 7 is 84

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

## Explanation:

We will explain two methods to find the LCM of 3, 4 and 7

- LCM of 3, 4, and 7 by Common Division Method
- LCM of 3, 4, and 7 by Listing Multiples Method

### Method 1: LCM of 3, 4, 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.

### Method 2: LCM of 3, 4, and 7 by Listing Multiples Method

Follow the steps given below to find the LCM of 3, 4, and 7.

**Step 1:**List the first few multiples of 3, 4 and 7**Step 2:**Identify the common multiples of 3, 4 and 7**Step 3:**LCM of 3, 4, and 7 is equal to the least number among the common multiples of 3, 4 and 7

So, the least common multiple of 3, 4, and 7 is 84

Clearly, the answer to LCM of 3, 4, and 7 is the same in both methods.