The first three common multiples of 6 and 8 are ____.

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Detailed Solution

Concept- Multiples are the numbers which we obtain by multiplying a certain number by certain integers.
For example,

,
And so on, 20,25, 30…
Hence, 5,10,15,20… are all multiples of 5
The least common multiple of two or more numbers, as the name itself suggests, is the “smallest, non-zero, common number” which is individually a multiple of each of the numbers.
Here, the concept to solve the above-mentioned question is very easy. We will go for the trial-and-error method.
Step-by-step explanation is as follows.
Let us write down the first 10 multiples of both 6 and 8, i.e.,

We can see that 24 and 48 are common in both cases. So, we did get the first two lowest common multiples of 6 and 8.
But the question is to find out the first three lowest common multiples of 6 and 8.
For that, we will need a few more common multiples of 6 and 8 ahead of the first 10 that we have already listed.
Furthermore, 5 multiples of 6 and 8 i.e., the first 15 multiples of both 6 and 8 are as follows:

We have our third common multiple, which is 72.
Hence, the correct answer is 24, 48 and 72.

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