Find two numbers dose to 400 such that one number is greater

Find two numbers dose to 400 (such that one number is greater than 400, and the other number is less than 400) which are exactly divisible by 2, 3, 5, 7. Think? You need the LCM.

Solution

LCM of 2,3,5 and 7

= 2*3*5*7

= 210 (This is less than 400)

Now next multiple of 210 is, 210*2 = 420 (This is greater than 400).

So the required numbers are 210 and 420.