# What is the LCM of 2, 3, 4, 5, 6 and 7?

LCM of 2, 3, 4, 5, 6 and 7 is the least number which is exactly divisible by 2, 3, 4, 5, 6 and 7.

## Answer: LCM of 2, 3, 4, 5, 6 and 7 is 420

We will explain two methods to find LCM of 2, 3, 4, 5, 6 and 7.

## Explanation:

Least Common Multiple is the smallest number which is exactly divisible by 2, 3, 4, 5, 6 and 7.

- LCM of 2, 3, 4, 5, 6 and 7 by Common Division Method
- LCM of 2, 3, 4, 5, 6 and 7 by Listing Common Multiples

### Method1: LCM of 2, 3, 4, 5, 6 and 7 by Common Division Method

In this division method, we divide the 2, 3, 4, 5, 6 and 7 simultaneously with prime numbers and stop it when we don't have a prime number to divide 2, 3, 4, 5, 6 and 7

LCM(2, 3, 4, 5, 6, 7) = 2 × 2 × 3 × 5 × 7 = 420

### Method2: LCM of 2, 3, 4, 5, 6 and 7 by Listing Common Multiples

Multiples of 2 = 2, 4, 6, 8, ..., 418 , 420, 422, 424.

Multiples of 3 = 3, 6 , 9 , 12 , ...,414, 417, 420, 423 , 426.

Multiples of 4 = 4, 8, 12, 16, ..., 412, 416, 420 , 424, 428.

Multiples of 5 = 5, 10, 15, 20, ..., 410, 415, 420, 425, 430

Multiples of 6 = 6, 12, 18, 24, ..., 414, 420 , 426, 432

Multiples of 7 = 7, 14, 21, 28, ..., 406, 413, 420, 427, 434.

Least Common Factor of 2, 3, 4, 5, 6 and 7 = 420

LCM of 2, 3, 4, 5, 6 and 7 is 420