Question

A number divisible by 2 , 3 and 5 is divisible by ​

Answer 1

If you mean the Lowest Common Multiple

(LCM) then the answer is 30.

But if you mean the lowest number that can

be divided by 2, 3, and 5 then the answer

is -∞ because any given number can be

divided by any number except 0.

Answer 2

Answer:

If a number x is divisible by 2, 3 and 5 — all of them, then x is also divisible by 2×3×5 = 30.

Therefore we have to find the numbers that are divisible by 30.

Three digit numbers are 100, 101, …….999. Now we look at the table of 30.

We find that (30×4) is the smallest 3 digit number divisible by 30 and (30×33) the largest 3 digit number divisible by 30.

Therefore there are (33−4)+1=30 such numbers that are divisible by 30, that is 2×3×5.

30 numbers are there which are exactly divisible by 2, 3 and 5.