# What is the LCM of 2 3 4 and 5?

The least common multiple of 2, 3, 4, and 5 is the least number which is exactly divisible by 2, 3, 4, and 5

## Answer: LCM of 2, 3, 4, and 5 is 60

Least Common Multiple is the smallest number in which the given numbers divide exactly.

### Method 1: Find LCM of 2, 3, 4, and 5 by Common Division Method

Follow the steps mentioned below to find the LCM of 2, 3, 4, and 5 by the common division method.

- Step 1: Write the numbers 2, 3, 4, and 5 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 it 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 2, 3, 4, and 5 will be the product of primes by which we have divided.

So, by common division method, we have LCM of 2, 3, 4, and 5 = 2 × 2 × 3 × 5 = 60

### Method 2: Find LCM of 2, 3, 4, and 5 by Listing Method

In this method, we list the first few multiples of 2, 3, 4, and 5 and identify the common multiples.

The least among the common multiples is the LCM of 2, 3, 4, and 5

So, by this method, LCM of 2, 3, 4, and 5 is 60

Irrespective of the method, the solution to our question LCM of 2, 3, 4, and 5 is the same.