# What is the LCM of 4, 12, and 20?

To find the LCM of 4, 12, and 20, we need the lowest number which is exactly divisible by all the three numbers 4, 12, and 20.

## Answer: LCM of 4, 12, and 20 is 60

The Least Common Multiple (LCM) of two numbers a and b is the smallest number that divides a and b exactly.

We will use two methods to find the least common multiple of 4, 12, and 20.

## Explanation:

- LCM of 4, 12, and 20 by Listing Method
- LCM of 4, 12, and 20 by Common Division Method

### Method 1: LCM of 4, 12, and 20 by Listing Method

Follow the steps given below to find the LCM of 4, 12, and 20.

**Step 1:**List the first few multiples of 4, 12 and 20**Step 2:**Identify the common multiples of 4, 12 and 20**Step 3:**LCM of 4, 12, and 20 is equal to the smallest number among the common multiples of 4, 12 and 20

Here, 60 is the lowest common multiple of 4, 12, and 20. So, LCM of 4, 12, and 20 is 60

### Method 2: LCM of 4, 12, and 20 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, 12 and 20 = 60

From the above two methods, the solution to our question "what is the LCM of 4, 12, and 20" is the same.