Question

Name three common multiples of 8 and 3

Answer 1

A number that is a common multiple of 8 and 3 can be written as:

`x=8^n\cdot3^m`

where n and m are whole numbers.

When n and m are equal to 1, we have:

`x_1=8^1\cdot3^1=8\cdot3=24`

When n=1 and m=2, we have:

`x_2=8^1\cdot3^2=8\cdot6=48`

When n=2 and m=1, we will have:

`x_3=8^2\cdot3^1=64\cdot3=192`

Then, we have the numbers 24, 48 and 192 that are common multiples of 8 and 3.

We can have as many as we want using the generator formula.

Answer: 24, 48 and 192