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

May 2, 2016

Least Common Multiple is $1008$

#### Explanation:

Prime factors of $7$ are $7$

Prime factors of $18$ are $2 \times 3 \times 3$

Prime factors of $21$ are $3 \times 7$

Prime factors of $48$ are $2 \times 2 \times 2 \times 2 \times 3$

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

Hence Least Common Multiple is $2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 7 = 1008$