Question

The largest natural number which exactly divides the product of any four consecutive natural numbers is

• A. 120
• B. 24
• C. 12
• D. 6

Answer 1

Answer:

B. 24

If a, b, c, d are the consecutive natural numbers there are two even numbers, at least one number divisible by 3 and atleast one number divisible by 4. Thus numbers 2, 3, 4 have their multiples contributing to product. Hence 2 x 3 x 4 = 24 should divide a x b x c x d