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


Find the first Common (same) value:

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The Least usual Multipleof 3 and 5 is 15

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


So ... What is a "Multiple" ?

We get a multiple of a number as soon as we multiply that by an additional number. Such as multiplying by 1, 2, 3, 4, 5, etc, yet not zero. As with the multiplication table. Here room some examples:


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

You are watching: Least common multiple of 4 and 8

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

What is a "Common Multiple" ?

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

What is the "Least usual Multiple" ?

It is simply the smallest of the common multiples.

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

... So the Least typical Multiple that 4 and 5 is 20.

detect the Least usual Multiple

List the multiples of the numbers till we acquire our an initial match.


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

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

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

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So the least usual multiple of 4 and 10 is 20


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

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

There is a match at 30

So the least usual multiple the 6 and also 15 is 30


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

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

See more: Book Review Of Truth Dare Double Dare Promise Or Repeat By Monica Lee

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


Hint: We can have smaller sized lists because that the enlarge numbers.

Least common Multiple Tool

There is another method: the Least typical Multiple tool does the automatically. (Yes, we waited till the end to phone call you!)


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