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The greatest common multiple of any set of numbers is infinite and not very practical for solving problems. Generally, we look for either the greatest common factor or the least common multiple. To find them, it is necessary to factor the numbers.

2 x 3 x 3 = 18

3 x 3 x 3 = 27

3 x 3 x 5 = 45

To find the GCF, select the common factors.

3 x 3 = 9, the GCF.

To find the LCM, combine the factors, eliminating duplicates.

2 x 3 x 3 x 3 x 5 = 270, the LCM.

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Q: What is the greatest common multiple of 18 27 and 45?
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