# What is the LCM of 3, 6, and 7?

To find the LCM of 3, 6, and 7, we need the least number which is exactly divisible by both 3, 6, and 7.

## Answer: LCM of 3, 6, and 7 is 42

The Least Common Multiple (LCM) of two numbers a and b is the smallest number that is divisible by a and b completely.

We will use two methods to find the least common multiple of 3, 6, and 7.

## Explanation:

We will show two methods to find the least common multiple of 3, 6 and 7

- LCM of 3, 6, and 7 by Common Division Method
- LCM of 3, 6, and 7 by Listing Method

### Method 1: LCM of 3, 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 3, 6 and 7 = 42

### Method 2: LCM of 3, 6, and 7 by Listing Method

Follow the steps given below to find the LCM of 3, 6, and 7.

**Step 1:**List the first few multiples of 3, 6 and 7**Step 2:**Identify the common multiples of 3, 6 and 7**Step 3:**LCM of 3, 6, and 7 is equal to the least number among the common multiples of 3, 6 and 7

Here, 42 is the least common multiple of 3, 6, and 7. So, LCM of 3, 6, and 7 is 42

Observe that the solution to our question LCM of 3, 6, and 7 is the same in both methods.