Question

What is the least common multiple of `{7, 18, 21, 48}`?

Answer 1

Least Common Multiple is `1008`

Explanation:

Prime factors of `7` are `7`

Prime factors of `18` are `2xx3xx3`

Prime factors of `21` are `3xx7`

Prime factors of `48` are `2xx2xx2xx2xx3`

Here `2` occurs maximum of four times, `3` occurs maximum of two times and `7` occurs just once.

Hence Least Common Multiple is `2xx2xx2xx2xx3xx3xx7=1008`