# Common Multiple Calculator

With this **common multiple calculator**, you can instantly **find a multiple that is common** to your set of numbers. Our tool allows you to enter up to 15 different numbers and finds their **least common multiple** and further **common multiples**. Scroll below to read what **common multiple actually is** and to see **examples of calculations**.

## Common multiple definition

A **common multiple** is a multiple shared by two or more numbers.

Before we move on, let us remind ourselves **what multiples are.** When we add the value of a number to itself, we get the next **multiples**. Let's look at **multiples of the number 3**: we start with `3`

and add to each successive number, `3`

. So, multiples are `3`

, `3+3 = 6`

, `6+3 = 9`

, and so on.

If you want to find the common multiples of `2`

and `4`

:

- Input
`2`

and`4`

into our**common multiples calculator**. - Look at the list of multiples of
**2**:`2, 4, 6, 8, 10, 12,...`

and**4**:`4, 8, 12, 16, 20,....`

. - Note the
**multiples that appear in both lists**. - Now we see that
`4`

,`8`

, and`12`

are repeated in both lists, so the**common multiple calculator**informs you they are common multiples of`2`

and`4`

.

🙋 Note that the **subsequent common multiples are multiples of the first one**, e.g. **8** and **12** are multiples of **4**. You can easily find the **complete list of common multiples** if you know the first one 😎.

## Least common multiple

If we write out **common multiples** of numbers, the first of these is called the **least common multiple**. For example, look for the common multiple of the numbers `2`

and `5`

:

Multiples of **2**: `2, 4, 6, 8, 10, 12, 14,...`

Multiples of **5**: `5, 10, 15, 20,...`

Common multiples of `2`

and `5`

are `10`

, `20`

, and so on. So the least common multiple of `2`

and `5`

will be the first number: `10`

.

## Common multiples of three and more numbers

We find **common multiples of three numbers** in the same way as above, but they must be multiples common to **all the numbers**. Let us find common multiples of `5`

, `6`

, and `10`

.

- Multiples of
**5**:;`5, 10, 15, 20, 25, 30,...`

- Multiples of
**6**:;`6, 12, 18, 24, 30, 36,...`

- Multiples of
**10**:, and`10, 20, 30, 40,...`

- We see that the common multiples of
`5`

,`6`

, and`10`

are.`30, 60, 90.....`

## More on common multiples

Common multiples are so vast and interesting that we decided to add much more to the topic. Check out our related tools:

- LCM calculator;
- Least common multiple calculator; and
- Least common factor calculator.

## FAQ

### What are the common multiples of 8 and 12?

The common multiples of 8 and 12 are `24, 48, 72,.....`

.

The steps to find them are as follows:

- List multiples of
**8**:`8, 16, 24, 32, 40, 48,...`

- List multiples of
**12**:`12, 24, 36, 48,...`

- Find the least common multiple:
**24**. - Find the multiples of
**24**:`48, 72,...`

They will be the next common multiples of 8 and 12.

### What are the common multiples of 3 and 4.5?

The common multiples of 3 and 4.5 are `9, 18, 27, ...`

.

Let's do it:

**Move the decimal 1 place to the right.**We'll search for the common multiples of the positive integers`30`

and`45`

.- List multiples of
**30**:`30, 60, 90, 120,...`

- List multiples of
**45**:`45, 90, 135, 180,...`

- Find common multiples:
`90, 180, 270,...`

**Move the decimal point of the result 1 place to the left**:`9, 18, 27,...`