Search 75,790 tutors
FIND TUTORS
Ask a question
0 0

what are all the common multiples of 12 and 15

Tutors, please sign in to answer this question.

3 Answers

The easiest approach to finding common multiplies is to list multiples of each number until you find what they have in common. It can take a long time, but can also be the most useful.

12: 12, 24, 36, 48, 60, 72, ...

15: 15, 30, 45, 60, 75, 90...

As you can see, the least common multiple is 60. There are other quicker methods to do this, but this seems to be the easiest and sometimes is the fastest.

To determine the multiple of a number multiple that number by 1, 2, 3, 4, etc.  For example, the multiples of 5 are: 5, 10, 15, 20, 25, 30, 35, 40, etc. (5 x 1 = 5, 5 x 2 = 10, 5 x 3 = 15 and so on).

The multiples of 10 are: 10, 20, 30, 40, etc.

To find the common multiples of 5 and 10 identify the multiples that both numbers share.  The common multiples would be 10, 20, 30, 40, etc.  In my specific example you can say all the common multiples of 5 and 10 are equal to the multiples of 10.

If you follow the steps I showed above you can determine the common multiples of 12 and 15.  Hint: By the time you reach the multiple of 300 you should have identified 5 common multiples.  Also the pattern you find to identify all common multiples of 12 and 15 will be different than the pattern I showed in my example.

common multiples or common factors?  Any light on what you are looking to accomplish as well?  THe easiest way to answer this is to multiply the two numbers together as each one will inherit the factors.

15*12=180, thus 360, etc will be a multiple.