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

LCM of 3, 4, 5 and 6 is the smallest number which divides 3, 4, 5 and 6 exactly without a remainder.

## Answer: LCM of 3, 4, 5 and 6 is 60

## Explanation

For 3, 4, 5 and 6 the smallest number which would be perfectly divisible by them is their LCM which is 60. Let us see how to calculate it below:

Least Common Multiple of 3, 4, 5 and 6 is the smallest number that will divide 3, 4, 5 and 6 exactly.

### LCM of 3, 4, 5 and 6 by Listing Method

Here is the list the first few multiples of 3, 4, 5 and 6

- Multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57,
**60**, 63, 66,.. - Multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56,
**60**, 64, 68,.. - Multiples of 5 are 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55,
**60**, 65, 70,.. - Multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54,
**60**, 66, 72,..

So, the least common multiple of 3, 4, 5 and 6 is 60

### LCM of 3, 4, 5 and 6 by Common Division Method

Here we will divide the numbers 3, 4, 5 and 6 simultaneously with prime numbers until we don't have a prime number to further divide 3, 4, 5 and 6 .

The product of the prime factors used in the division is 60 therefore, LCM (3, 4, 5, 6) is 60