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


Find the very first Common (same) value:

*


The Least typical Multipleof 3 and also 5 is 15

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


So ... What is a "Multiple" ?

We obtain a multiple of a number once we multiply that by one more number. Such together multiplying by 1, 2, 3, 4, 5, etc, yet not zero. Just like the multiplication table. Here space some examples:


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

You are watching: What are the first 5 multiples of 4

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

What is a "Common Multiple" ?

Say we have detailed the first couple of multiples that 4 and 5: the common multiples space those the are uncovered 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 also 40 show up in both lists? So, the common multiples of 4 and also 5 are: 20, 40, (and 60, 80, etc ..., too)

What is the "Least typical Multiple" ?

It is simply the smallest that the usual multiples.

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

... Therefore the Least usual Multiple that 4 and 5 is 20.

recognize the Least typical Multiple

List the multiples that the numbers till we acquire our first match.


Example: uncover the least typical multiple that 4 and 10:

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

Aha! over there is a enhance at 20. The looks like this:

*

So the least typical multiple the 4 and also 10 is 20


Example: find the least typical multiple of 6 and also 15:

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

There is a complement at 30

So the least common multiple of 6 and also 15 is 30


Example: find the least usual multiple the 4, 6, and 8

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

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So 24 is the least typical multiple (I can"t discover a smaller sized one!)


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

Least typical Multiple Tool

There is one more method: the Least usual Multiple device does the automatically. (Yes, us waited till the end to tell you!)


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