Question

The highest common factor of 108, 72 and 5a is a. What can be the least common multiple of 108, 72 and a?

• A. 432
• B. 324
• C. 108
• D. 216

Answer 1

Answer:

D. 216

HCF of 108, 72 and 5a = a 108 = 72 × 1 + 36 72 = 36 × 2 + 0 Third number = 5a = 5 × 36 = 180 a = 36 108 = 2 × 2 × 3 × 3 × 3 72 = 2 × 2 × 2 × 3 × 3 36 = 2 × 2 × 3 × 3 LCM of 108, 72 and 36 = 2 × 2 × 3 × 3 × 3 × 2 = 216