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Calculate the Least Common Multiple or LCM of 92, 138 and 230

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The instructions to find the LCM of 92, 138 and 230 are the next:

1. Decompose all numbers into prime factors

922
462
2323
1
1382
693
2323
1
2302
1155
2323
1

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

Prime factors of 92=22 . 23
Prime factors of 138=2 . 3 . 23
Prime factors of 230=2 . 5 . 23

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

Common prime factors: 2 , 23

Common prime factors with the greatest exponent: 22, 231

Uncommon prime factors: 3 , 5

Uncommon prime factors with the greatest exponent: 31, 51

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. 51 = 1380


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