what is the least common multiple of 120 and 80? a 120 b 240 c 40 d 1200

what is the least common multiple of 120 and 80? a 120 b 240 c 40 d 1200

what is the least common multiple of 120 and 80? a 120 b 240 c 40 d 1200

Answer

Explanation:

Step1: Prime factorize the numbers

Prime factorize (120 = 2^{3}\times3\times5) Prime factorize (80=2^{4}\times5)

Step2: Find the LCM

For the LCM, take the highest power of each prime factor. For prime factor (2), the highest power is (4); for prime factor (3), the power is (1); for prime factor (5), the power is (1) (LCM(120,80)=2^{4}\times3\times5) (=16\times3\times 5) (=240)

Answer:

B. (240)