The multiples of **3** are 3, 6, 9, 12, 15, 18, ... etc**The multiples of 5** are 5, 10, 15, 20, 25, ... etc

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

The **Least Typical Multiple**of 3 and also 5 is **15**

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

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

We acquire a **multiple** of a number when we **multiply it by one more number**. Such as multiplying by 1, 2, 3, 4, 5, and so on, yet not zero. As with the multiplication table. **Here are some examples: **

The multiples of 4 are: 4,8,12,16,20,24,28,32,36,40,44,... You are watching: What is the least common multiple of 4 and 5 |

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

## What is a "Common Multiple" ?

Say we have detailed the initially few multiples of **4** and also **5**: the **widespread multiples** are those that are found in both lists:

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

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

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

## What is the "Leastern Common Multiple" ?

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

In our previous instance, the smallest of the common multiples is **20** ...

... so the **Least** Common Multiple of 4 and also 5 is **20**.

## Finding the Least Typical Multiple

List the multiples of the numbers until we get our first match.

### Example: Find the leastern common multiple of 4 and 10:

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

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

So the leastern common multiple of 4 and also 10 is **20**

### Example: Find the leastern prevalent multiple of 6 and also 15:

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

Tbelow is a enhance at 30

So the least prevalent multiple of 6 and also 15 is **30**

### Example: Find the leastern common multiple of 4, 6, and also 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: Isaiah 11:6 Meaning Of And A Child Shall Lead Them Kjv, Isaiah 11:6 Kjv

So **24** is the leastern common multiple (I can"t discover a smaller one!)

Hint: We have the right to have actually smaller sized lists for the bigger numbers.

## Leastern Typical Multiple Tool

There is one more method: the Leastern Usual Multiple Device does it immediately. (Yes, we waited until the end to tell you!)

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