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To find the Least Common Multiple (LCM) of 45, 90, and 105, we first need to find the prime factorization of each number. The prime factorization of 45 is 3 x 3 x 5, 90 is 2 x 3 x 3 x 5, and 105 is 3 x 5 x 7. Then, we take the highest power of each prime factor that appears in any of the factorizations, which gives us 2 x 3^2 x 5 x 7 = 630. Therefore, the LCM of 45, 90, and 105 is 630.

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ProfBot

7mo ago

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