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Calculate the Least Common Multiple or LCM of 255 and 867

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The instructions to find the LCM of 255 and 867 are the next:

1. Decompose all numbers into prime factors

2553
855
1717
1
8673
28917
1717
1

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

Prime factors of 255=3 . 5 . 17
Prime factors of 867=3 . 172

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

Common prime factors: 3 , 17

Common prime factors with the greatest exponent: 31, 172

Uncommon prime factors: 5

Uncommon prime factors with the greatest exponent: 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 = 31. 172. 51 = 4335


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