Why is twelve the least common multiple of 2 3 and 4?

Answer 1

To find the least common multiple of 2, 3, and 4, factor them:

2 = 2 x 1

3 = 3 x 1

4 = 2 x 2 (Since one 2 has already been used to factor the number 2, only one 2 counts in the factors for the number 4.)

The least common multiple of 2, 3, and 4 = 1 x 2 x 3 x 2 = 12.