Question

5. Find the largest natural number that divides the product of any three consecutive
natural numbers​

Answer 1

The answer is 48.

Let three consecutive even numbers be 2n,2n+2,2n+4

product=2n(2n+2)(2n+4)

If n=1,

product =2(4)(6)=48

If n=3,

product =6×8×10=480

Which is the least number always divisible by 48.