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

1 Answer
May 2, 2016

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