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To find the common multiples of 12 and 15, you need to break them down into their prime factors:

12 = 2x2x3

15 = 3x5

The next step is to identify any common factors. In this case, both numbers have a 3 as a prime factor, and so you can discard one of those. Considering all the other prime factors (2, 2, 3 and 5) and multiplying them together, we will find the LCM:

2x2x3x5 = 60.

To find the other common multiples, you need to multiply this number by any integer (2, 3, 4...)

When you do this, the first few common multiples of 12 and 15 work out as:

60, 120, 180, 240...
There is an infinite number of common multiples for 12 and 15. A common multiple of any two or more numbers is any number into which each of two or more numbers can be divided evenly (zero remainder). However, the least or lowest common multiple (LCM) of 12 and 15 is 60.

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Q: What are common multiples of 12 and 15?
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Related questions

What are the first common multiples of 12 and 15?

60


What are the Common multiples of 15 and 12?

The common multiples of 12 and 15 include 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, and an infinite number of others. They are the multiples of 60, which is the least common multiple of 12 and 15.


Why is 60 the least common multiple of 12 and 15?

The multiples of 12 are 12, 24, 36, 48, 60... The multiples of 15 are 15, 30, 45, 60... 60 is the LCM of 12 and 15 because it is the first common multiple of these two numbers.


What are the least common multiples of 15 and 12?

The LCM is 60.


What are the common multiples of 3?

Multiples of 3 include 3, 6, 9, 12, 15 and so on. For them to be common, they need to be compared to another set of multiples.


What are the common multiples of3?

Multiples of 3 include 3, 6, 9, 12, 15, and so on. To be common, they need to be compared to another set of multiples.


What is first common multiples of 12 and 15?

60, 120, 180


What are common multiples and least common multiples?

All numbers have multiples. Some numbers have some of the same multiples as other numbers. These are known as common multiples. The smallest of these is known as the least common multiple. Common multiples of 3 and 4 include 12, 24, 36 and so on. The LCM of 3 and 4 is 12.


What is the least common multiples of 5 and 3?

The LCM of 3 and 5 is 15. The multiples of 3 are , 6, 9, 12, 15, and so on. The multiples of 5 are 5, 10, 15, and so on. The LCM is 15.


What is the common multiples of 15?

Multiples of 15 include 15, 30 and 45. For them to be common, they need to be compared to another set of multiples.


What are the first three common multiples of 12 and 15?

60, 120, 180


What is the first three common multiples of 12 and 15?

60, 120, 180