What is the LCM of 9 and 16 and 18?

Answer 1

144

Answer 2

In practical terms, it is only necessary to find the LCM of 16 & 18 as 9 is a factor of 18.

Express each number in terms of its prime factors.

16 = 2 x 2 x 2 x 2 = 24

18 = 2 x 3 x 3 = 2 x 32

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

The highest power of 2 is 24 and of 3 is 32.

The LCM is therefore 24 x 32 =16 x 9 = 144

Answer 3

LCM(18, 9, 16) = 144.

Answer 4

LCM(18, 9, 16) = 144.