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

432 324 108 216

216

HCF of 108, 72 and 5a = a ⇒ 108 = 72 × 1 + 36 ⇒ 72 = 36 × 2 + 0 ⇒ Third number = 5a = 5 × 36 = 180 ⇒ Now, we got 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