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Calculate the Least Common Multiple or LCM of 390 and 663

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The instructions to find the LCM of 390 and 663 are the next:

1. Decompose all numbers into prime factors

3902
1953
655
1313
1
6633
22113
1717
1

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

Prime factors of 390=2 . 3 . 5 . 13
Prime factors of 663=3 . 13 . 17

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

Common prime factors: 3 , 13

Common prime factors with the greatest exponent: 31, 131

Uncommon prime factors: 2 , 5 , 17

Uncommon prime factors with the greatest exponent: 21, 51, 171

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. 131. 21. 51. 171 = 6630


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