The multiples that **3** space 3, 6, 9, 12, 15, 18, ... Etc**The multiples of 5** room 5, 10, 15, 20, 25, ... Etc

Find the very first **Common** (same) value:

The **Least typical Multiple**of 3 and 5 is **15**

(15 is a lot of of both 3 and also 5, and also is the the smallest number prefer that.)

## So ... What is a "Multiple" ?

We gain a **multiple** of a number when we **multiply it by one more number**. Such together multiplying through 1, 2, 3, 4, 5, etc, but not zero. As with the multiplication table. **Here room some examples: **

The multiples of 4 are: 4,8,12,16,20,24,28,32,36,40,44,... You are watching: Is 1 a multiple of 5 |

The multiples that 5 are: 5,10,15,20,25,30,35,40,45,50,... |

## What is a "Common Multiple" ?

Say we have provided the first few multiples the **4** and also **5**: the **common multiples** space those that are found in both lists:

The multiples that 4 are: 4,8,12,16,20,24,28,32,36,40,44,... |

The multiples the 5 are: 5,10,15,20,25,30,35,40,45,50,... |

Notice the **20** and **40** appear in both lists? **So, the common multiples that 4 and also 5 are: 20, 40,** (and **60**, **80**, etc ..., too)

## What is the "Least typical Multiple" ?

It is simply the **smallest** the the common multiples.

In our previous example, the the smallest of the typical multiples is **20** ...

... Therefore the **Least** common Multiple of 4 and 5 is **20**.

## finding the Least typical Multiple

List the multiples that the numbers till we get our very first match.

### Example: discover the least typical multiple of 4 and 10:

The multiples that 4 are: **4, 8, 12, 16, 20, ...****and the multiples of 10 are: 10, 20, ...**

Aha! there is a complement at 20. The looks prefer this:

So the least usual multiple that 4 and also 10 is **20**

### Example: discover the least common multiple that 6 and also 15:

The multiples that 6 are: **6, 12, 18, 24, 30, ...****and the multiples that 15 are: 15, 30, ...**

There is a match at 30

So the least common multiple that 6 and 15 is **30**

### Example: discover the least common multiple that 4, 6, and 8

Multiples of 4 are: 4, 8, 12, 16, 20, **24**, 28, 32, 36, ...**Multiples of 6 are: 6, 12, 18, 24**, 30, 36, ...**Multiples of 8 are: 8, 16, 24**, 32, 40, ....

See more: Weight Of Steel Per Square Foot, Steel Gauge Charts

So **24** is the least usual multiple (I can"t find a smaller one!)

Hint: We deserve to have smaller sized lists because that the bigger numbers.

## Least common Multiple Tool

There is an additional method: the Least typical Multiple tool does that automatically. (Yes, us waited until the finish to phone call you!)

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