For example, we can get the multiples of 6 and 7 by multiplying them by numbers 1, 2, 3, ... and so on.

You are watching: Common multiples of 6 and 12

Multiples of 6 are: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, …

Multiples of 7 are: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, ...

Common multiple

A common multiple is a whole number that is a shared multiple of each set ofnumbers. The multiples that are common to two or more numbers are called the common multiples of those numbers.

Let us mark the multiples of 6 and 7 on a hundreds grid. We will mark the multiples of 6 by a circle and multiples of 7 by a cross. The numbers that are circled as well as crossed are the common multiples of 6 and 7.

So, the common multiples of 6 and 7 are 42, and 84.

We can find the common multiples of two or more numbers by listing the multiples of each number and then finding their common multiples.

For example, to find the common multiples of 3 and 4, we list their multiples and then find their common multiples.

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, ...

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, ...

Common multiples of 3 and 4: 12, 24, 36, … Fun FactsA number can have an infinite number of multiples. Therefore, any two numbers or set of numbers can have the infinite number of common multiples.The smallest common multiple of two or more numbers is called their Least Common Multiple (LCM). The LCM of 3 and 4 is 12.See more: 2005 Ford Explorer Door Ajar Light Stays On !!!, 2003 Ford Explorer With Door Ajar Problem Won Numerous Awards & Honors Math Games for Kids
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