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name three common multiples of 8 and 3

Sagot :

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

[tex]x=8^n\cdot3^m[/tex]

where n and m are whole numbers.

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

[tex]x_1=8^1\cdot3^1=8\cdot3=24[/tex]

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

[tex]x_2=8^1\cdot3^2=8\cdot6=48[/tex]

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

[tex]x_3=8^2\cdot3^1=64\cdot3=192[/tex]

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