Question

Find the LCM of the following using prime factorization method.

$72,90,120$.

Answer 1

Prime factorisation of $72=2\times 2\times 2\times 3\times 3$
Prime factorisation of $90=2\times 3\times 3\times 5$
Prime factorisation of $120=2\times 2\times 2\times 3\times 5$
Hence, LCM of $72,90,120=2\times 2\times 2\times 3\times 3\times 5=360$.