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Calculate the Least Common Multiple or LCM of 92 and 516

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The instructions to find the LCM of 92 and 516 are the next:

1. Decompose all numbers into prime factors

922
462
2323
1
5162
2582
1293
4343
1

2. Write all numbers as the product of its prime factors

Prime factors of 92=22 . 23
Prime factors of 516=22 . 3 . 43

3. Choose the common and uncommon prime factors with the greatest exponent

Common prime factors: 2

Common prime factors with the greatest exponent: 22

Uncommon prime factors: 23 , 3 , 43

Uncommon prime factors with the greatest exponent: 231, 31, 431

4. 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 = 22. 231. 31. 431 = 11868


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