Question

Find the first three common multiples of 12 and 18.

Answer 1

Hint: In this question simply find the multiples of the given numbers. Then search for the multiples which are common in them. Arrange the factors in ascending order to search for the first 3 common ones.

Complete step-by-step answer:

We have to find the first three common multiples of 12 and 18.
So first find the multiples of 12 and 18.
So multiples of 12 are
$ \Rightarrow 12 = 1 \times 2 \times 2 \times 3$
And multiples of 18 are
$ \Rightarrow 18 = 1 \times 2 \times 3 \times 3$
So as we see that the first three common multiples of 12 and 18 are
Therefore common multiples = (1, 2 and 3)
So this is the required common multiples of 12 and 18.
So this is the required answer.

Note: There is always a confusion between factors and multiples .A multiple is a number that can be divided by another number a certain number of times without leaving any remainder, however a factor is one of two or more numbers that divide a number without a remainder. That’s why sometimes both are used alternatively.