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

You are watching: Common multiples of 6 and 7

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

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

**Common multiple**

A usual multiple is a totality number the is a shared multiple that each set ofnumbers. The multiples the are typical to two or much more numbers are dubbed the usual multiples of those numbers.

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

The numbers that are circled and crossed room the typical multiples of 6 and also 7.

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

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

For example, to uncover the typical multiples the 3 and 4, us list your multiples and also then discover their common multiples.

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

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

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

A number deserve to have one infinite number of multiples. Therefore, any type of two numbers or set of numbers can have the infinite variety of common multiples. The smallest common multiple of 2 or much more numbers is dubbed their Least common Multiple (LCM). The LCM of 3 and 4 is 12. |

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