Question

The largest natural number by which the product of three consecutive even natural number is always divisible is

Answer 1

Step-by-step explanation:

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.

Hope it helps you.