Math, asked by malakmahmoud, 6 months ago

what is the common multiples

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Answered by Anonymous
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Answer:

In arithmetic and number theory, the least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by lcm, is the smallest positive integer that is divisible by both a and b.

Answered by jha60617
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Answer:

Common Multiple - Definition with Examples

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What is Common Multiples?

Multiples

On multiplying a number by numbers,gives us its .

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

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 of . 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.

common-multiple

The numbers that are 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, …

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