Question

What is the smallest number that can be divided by 3,9,12 without a remainder

Answer 1

LCM = 36

Explanation:

Basically you want to find LCM which is the Least Common Multiple. This is the process of coming up with the smallest positive multiple that is common to two or more numbers.

Look up how to solve using cake ladder method. Basically you are going to list all numbers and use the same number to divide them in whole number without remainder. You do this until you encounter a point where you cannot further divide without remainder. Then you multiply the left most column and last row.

I have listed the process below and answer is 36 (multiply the left most column and last row. )

Answer 2

36

Explanation:

Factor each into prime numbers

3 = 3

9 = 3 * 3

12 = 2 * 2 * 3

least common multiple

product of greatest number of different primes in any of the numbers

3 * 3 * 2 * 2

36