Question

Find the L.C.M. of the following group of numbers, using

1. the prime factor method and
2. the common division method

18, 24 and 96

Answer 1

L.C.M. of 18, 24 and 96

i. By prime factors
Prime factors of 18 = 2 x 3 x 3
Prime factors of 24 = 2 x 2 x 2 x 3
Prime factors of 96 = 2 x 2 x 2 x 2 x 2 x 3
L.C.M. = 2 x 2 x 2 x 2 x 2 x 3 x 3 = 288

ii. By common division method
L.C.M. of 18, 24 and 96 = 2 x 2 x 2 x 3 x 3 x 4 = 288

2	18,	24,	96
2	9,	12,	48
2	9,	6,	24
3	9,	3,	12
	3,	1,	4