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To find the LCM (Least Common Multiple) of 24 and 50, we can use different methods such as prime factorization, listing multiples, or using the method of finding the GCD (Greatest Common Divisor) and using the formula: LCM(a, b) = |a x b| / GCD(a, b) Here, we will use the prime factorization method:Read more

To find the LCM (Least Common Multiple) of 24 and 50, we can use different methods such as prime factorization, listing multiples, or using the method of finding the GCD (Greatest Common Divisor) and using the formula:

LCM(a, b) = |a x b| / GCD(a, b)

Here, we will use the prime factorization method:

Prime factorization of 24 = 2^3 x 3^1 Prime factorization of 50 = 2^1 x 5^2

To find the LCM, we need to take the highest power of each prime factor, which appears in either factorization. Therefore:

LCM(24, 50) = 2^3 x 3^1 x 5^2 = 600

Therefore, the LCM of 24 and 50 is 600.

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