Find the LCM of 27, 84 and 112
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5
Answer:
Step-by-step explanation:
The instructions to find the LCM of 112, 84 and 27 are the next:
->Write all numbers as the product of its prime factors
Prime factors of 112 = 2^4 . 7
Prime factors of 84 = 2^2 . 3 . 7
Prime factors of 27 = 3^3
->Calculate the Least Common Multiple or LCM
Remember, to find the LCM of several numbers you must multiply the common and uncommon prime factors with the greatest exponent of those numbers.
LCM = 24. 71. 33 = 3024
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6
27- The prime factorization of 27 is: 3 x 3 x 3. The prime factorization of 18 is: 2 x 3 x 3. Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(27,27) = 54
84-. Lcm of 84 is: 2 x 2 x 3 x 7.
112-672
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