# What is the LCM of 4, 8, and 12?

LCM of 4, 8, and 12 is the least number which is exactly divisible by 4, 8, and 12.

## Answer: LCM of 4, 8, and 12 is 24

## Explanation:

Least Common Multiple of three numbers, a, b, and c is the smallest number that divides the numbers, a, b, and c exactly.

### LCM of 4, 8, and 12 by Common Division Method

Follow the steps mentioned below to find the LCM of 4, 8, and 12 by the common division method.

**Step 1:** Write the numbers 4, 8, and 12 horizontally by separating them with a comma.

**Step 2: **Choose the smallest prime number that divides at least any one of them.

**Step 3:** Write the quotient in the next row just below the numbers. If any of the numbers are not divided, we will bring them down directly.

**Step 4:** We will stop it when we don't have a prime number to divide the given numbers.

**Step 5:** Least common multiple of 4, 8, and 12 will be the product of primes by which we have divided.

### LCM of 4, 8 and 12 by Listing Method

In this method, we list the first few multiples of 4, 8 and 12 and identify the common multiples.

The least among the common multiples is the LCM of 4, 8 and 12

Irrespective of the method, the solution to our question LCM of 4, 8, and 12 is the same.