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

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Answer 1 · 2016-05-02T06:01:45

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 $2xx2xx2xx2xx3xx3xx7=1008$

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