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

Find the very first Common (same) value: The Least typical Multipleof 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!)

development to fractions Simplifying fractions Comparing fractions Least common Multiple device Least common Denominator Greatest usual Factor including Fractions Subtracting fractions Fractions Index