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The LCM is 150.
The LCM is: 150
The LCM of the given numbers is 150
The LCM (Least Common Multiple) of 25 and 30 is the smallest number that is a multiple of both 25 and 30. To find the LCM, we first need to find the prime factorization of each number: 25 = 5^2 and 30 = 2 * 3 * 5. Then, we take the highest power of each prime factor that appears in either number: 2^1 * 3^1 * 5^2 = 150. Therefore, the LCM of 25 and 30 is 150.
The Least Common Multiple (LCM) of 60, 90, and 150 is the smallest multiple that is divisible by all three numbers. To find the LCM, we first need to find the prime factorization of each number: 60 = 2^2 * 3 * 5, 90 = 2 * 3^2 * 5, and 150 = 2 * 3 * 5^2. The LCM is the product of the highest power of each prime factor that appears in any of the factorizations, so LCM(60, 90, 150) = 2^2 * 3^2 * 5^2 = 900.