What is the LCM of 135 225 45?

Answer 1

Express every number in terms of its prime factors.

135 = 3 x 3 x 3 x 5 = 33 x 5

225 = 3 x 3 x 5 x 5 = 32 x 52

45 = 3 x 3 x 5 = 32 x 5

The LCM is the product of the highest power of each prime factor.

The LCM of 135, 225 and 45 is therefore 33 x 52 = 27 x 25 = 675

Answer 2

675 = 3 x 225, 5 x 135 and 15 x 45