Question

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

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

22, 121 and 33

Answer 1

L.C.M. of 22, 121 and 33

i. By prime factors
Prime factors of 22 = 2 x 11 = 2¹ x 11¹
Prime factors of 121 = 11 x 11 = 11²
Prime factors of 33 = 3 x 11 = 3¹ x 11¹
∴ L.C.M. of 22, 121 and 33 = 2¹ x 3¹ x 11¹ = 726

ii. By common division method

2	22,	121,	33
11	11,	121,	33
	1,	11,	3

∴ L.C.M. of 22, 121 and 33 = 2 x 11 x 11 x 3 = 726