Question

The LCM of 960 and 240 is ______.

Options

• 960

• 240

• 60

• 15

Answer 1

The LCM of 960 and 240 is 960.

Explanation:

Given numbers: 960, 240

Prime factorization:

240 = 2⁴ × 3 × 5

960 = 2⁶ × 3 × 5

LCM is the product of the highest powers of all prime factors involved.

LCM (960, 240) = 2⁶ × 3 × 5

LCM (960, 240) = 64 × 15

LCM (960, 240) = 960

Alternatively, since 960 is a multiple of 240 (240 × 4 = 960), the larger number is the LCM.