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

You are watching: What are common multiples of 4 and 7

Multiples of 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 whole number the is a common multiple the each collection ofnumbers. The multiples the are typical to 2 or an ext numbers are dubbed the typical multiples of those numbers.

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

The numbers that space circled and crossed space the common multiples that 6 and 7.

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

We can uncover the typical multiples of 2 or more numbers by listing the multiples of each number and then finding their usual multiples.

For example, to find the usual multiples the 3 and also 4, us list their multiples and then uncover their common multiples.

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

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

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

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

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