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2 x 2 x 3 = 12

2 x 13 = 26

2 x 2 x 3 x 13 = 156, the LCM

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What is the LCM of 12 26 and 52?

To find the Least Common Multiple (LCM) of 12, 26, and 52, first factorize each number: 12 = 2^2 * 3, 26 = 2 * 13, and 52 = 2^2 * 13. Then, identify the highest power of each prime factor that appears in any of the factorizations: 2^2, 3, 13. Finally, multiply these highest powers together to find the LCM: LCM(12, 26, 52) = 2^2 * 3 * 13 = 156.


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To find the LCM of 26 and 42 you first need to break those numbers up into their prime factors. In this case, that would be: 26 = 2x13 42 = 2x3x7 The next step is to identify any common factors. In this case, both numbers have a 2 as a prime factor, so we can discard one of these. Take every other prime factor (2, 3, 7 and 13) and multiply them together to find the LCM: 2x3x7x13 = 546 Therefore the LCM of 26 and 42 is 546.


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