The least number which should be added to 6424 so that the sum is exactly divisible by 8, 9 and 12 is:

Correct option is A

Given:

Number = 6424

Divisors = 8, 9, 12

Solution:

Prime factors:

8 = 2 × 2 × 2

9 = 3 × 3

12 = 2 × 2 × 3

LCM = 2 × 2 × 2 × 3 × 3 = 72

6424 ÷ 72 = 89 remainder 16

Least number to be added = 72 – 16 = 56

Required number = 56