Question

Find the L.C.M of $24,72$and $60$ using prime factorisation.

Answer 1

Finding L.C.M using Prime Factorisation.

Prime Factors of $24=2\times 2\times 2\times 3$

Prime Factors of $72=2\times 2\times 2\times 3\times 3$

Prime Factors of $60=2\times 2\times 3\times 5$

Taking all the common factors in group and also the uncommon factors we see that,

$2$ appears thrice, $3$ appears twice and $5$ once.

Therefore, L.C.M of $24,72$ and $60$ $=2\times 2\times 2\times 3\times 3\times 5$

$=360$.

Hence, the L.C.M of $24,72$ and $60$ is $360$.