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


Find the first Common (same) value:

*


The Least usual Multipleof 3 and 5 is 15

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


So ... What is a "Multiple" ?

We obtain a multiple that a number once we multiply that by another number. Such as multiplying by 1, 2, 3, 4, 5, etc, yet not zero. Similar to the multiplication table. Here space some examples:


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

You are watching: Least common multiple of 5 and 12

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 the 4 and 5: the common 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 that 5 are: 5,10,15,20,25,30,35,40,45,50,...

Notice the 20 and 40 appear in both lists? So, the usual 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 typical multiples.

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

... So the Least common Multiple the 4 and 5 is 20.

detect the Least usual Multiple

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


Example: discover the least common multiple that 4 and also 10:

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

Aha! over there is a match at 20. It looks choose this:

*

So the least usual multiple the 4 and 10 is 20


Example: discover the least typical multiple of 6 and 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 common multiple that 6 and 15 is 30


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

Multiples the 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: How Much Oil Does A Cub Cadet Ltx 1040 Oil Capacity, How Much Oil Does A Cub Cadet Lawn Mower Take

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


Hint: We have the right to have smaller lists because that the enlarge numbers.

Least typical Multiple Tool

There is another method: the Least typical Multiple tool does the automatically. (Yes, we waited until the finish to tell you!)


introduction to fractions Simplifying fountain Comparing fractions Least typical Multiple tool Least usual Denominator Greatest typical Factor including Fractions Subtracting fractions Fractions Index