For example, we can obtain the multiples the 6 and 7 by multiply them by numbers 1, 2, 3, ... And also so on.

You are watching: Common multiples of 3 and 4

Multiples of 6 are: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, …

Multiples of 7 are: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, ...

**Common multiple**

A typical multiple is a entirety number that is a shared multiple the each set ofnumbers. The multiples that are common to 2 or more numbers are referred to as the typical multiples that those numbers.

Let us mark the multiples that 6 and 7 top top a hundreds grid. Us will mark the multiples the 6 by a circle and also multiples of 7 through a cross.

The number that room circled as well as crossed are the common multiples of 6 and also 7.

So, the typical multiples the 6 and 7 room 42, and 84.

We can find the common multiples of two or an ext numbers by listing the multiples of each number and then finding their typical multiples.

For example, to discover the common multiples that 3 and 4, us list your multiples and then find their usual multiples.

Multiples the 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, ...

Multiples that 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, ...

Common multiples that 3 and 4: 12, 24, 36, …

A number can have one infinite variety of multiples. Therefore, any two number or collection of numbers have the right to have the infinite variety of common multiples. The smallest usual multiple of 2 or an ext numbers is called their Least common Multiple (LCM). The LCM the 3 and 4 is 12. |

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