What is the least common multiple of 32 48 and 120?

Answer 1

The prime factors of 64 are 2, 2, 2, 2, 2, and 2, or 26. The prime factors of 120 are 2, 2, 2, 3 and 5, or 23, 31 and 51. The least common multiple of two numbers is the product of the largest power of each prime encountered in both numbers. In the case of 64 and 120, these are 26, 31, and 51, so the LCM of 64 and 120 is 960.

Answer 2

lcm(24,48,128) = 384.

Easiest is to factorise into prime factors and solve by inspection:

lcm( 3(2)4, 3(2)4, 27) = 3(2)7 = 3(128) = 384.

Checking the result, we have

24 X 16 = 384,

48 X 8 = 384, and

128 X 3 = 384.

Answer 3

The LCM is: 480

Answer 4

2

Answer 5

It is 1