Question

find the L.C.M 18,30 and 48​

Answer 1

The prime factors of 18 are 2, 3 and 3.

The prime factors of 30 are 2, 3 and 5.

The prime factors of 48 are 2, 2, 2, 2 and 3.

The prime factor 5 occurs one time, while 2 and 3 occur more than once.

The least common multiple is the product of all factors in the greatest number of their occurrence.

$LCM = {2}^{4} \times {3}^{2} \times 5$

The least common multiple of 18, 30 and 48 is 720.