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The LCM is 60. 5 = 5 x 1 2 = 2 x 1 3 = 3 x 1 4 = 2 x 2 Using the highest exponent of each prime, the LCM is 5 x 3 x 4 = 60
To find a common denominator for 25, 27, and 45, we need to determine the least common multiple (LCM) of these numbers. The prime factorization of 25 is 5^2, 27 is 3^3, and 45 is 3^2 * 5. The LCM is the product of the highest power of each prime factor that appears in any of the numbers, which in this case is 3^3 * 5^2 = 225. Therefore, 225 is the common denominator for 25, 27, and 45.
Their product.
The LCM is 300.
Well, isn't that a happy little question! To find the LCM, we look for the smallest number that all three numbers can divide into evenly. First, we prime factorize each number: 32 = 2^5, 96 = 2^5 * 3, and 160 = 2^5 * 5. Then, we take the highest power of each prime factor present in the prime factorization of each number, which gives us 2^5 * 3 * 5 = 960. So, the LCM of 32, 96, and 160 is 960. Happy calculating!