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What is the least common multiple of 2 3 5 and 9?

Updated: 8/16/2019
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15y ago

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To determine the least common multiple of more than two numbers, determine the prime factors of all numbers. Then, determine the prime factors they have in common with at least one of the other numbers and the ones that are not in common.

The prime factor of 2 is 2.

The prime factor of 3 is 3.

The prime factor of 5 is 5.

The prime factors of 9 are 3 and 3.

The prime factor 3 is a factor in common in one pair.

Multiply all the factors together and divide by any that were in common with the other numbers.

Therefore, the least common multiple is 2 x 3 x 5 x 9 ÷ 3 = 90

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Q: What is the least common multiple of 2 3 5 and 9?
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