Oh, dude, the Least Common Multiple (LCM) of 90, 100, and 120 is 600. It's like the smallest number that all three of these numbers can divide into evenly without leaving any remainder. So, yeah, 600 is the magic number here.
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Well, isn't that a happy little math question! To find the Least Common Multiple (LCM) of 90, 100, and 120, we look for the smallest number that all three can divide into evenly. First, we break down each number into its prime factors: 90 = 2 x 3^2 x 5, 100 = 2^2 x 5^2, and 120 = 2^3 x 3 x 5. Then, we take the highest power of each prime factor that appears in any of the numbers: 2^3 x 3^2 x 5^2 = 2 x 3^2 x 5^2 = 900. So, the LCM of 90, 100, and 120 is 900.