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Multiples that are common to two or more numbers are said to be common
multiples.
E.g. Multiples of 2 are 2, 4, 6, 8, 10, 12, 14, 16, 18,
…
Multiples of 3 are 3, 6, 9, 12,
15, 18, …
So, common multiples of 2 and 3 are 6, 12, 18, …
Example 2
Find the common multiples of 4 and 6.
Solution:
Multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36,
…
Multiples of 6 are 6, 12, 18, 24, 30, 36, …
So, the common multiples of 4 and 6 are 12, 24, 36, …
Key Term
common multiple
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