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Calculate the Least Common Multiple or LCM of 285, 356 and 390

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The instructions to find the LCM of 285, 356 and 390 are the next:

1. Decompose all numbers into prime factors

2853
955
1919
1
3562
1782
8989
1
3902
1953
655
1313
1

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

Prime factors of 285=3 . 5 . 19
Prime factors of 356=22 . 89
Prime factors of 390=2 . 3 . 5 . 13

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

Common prime factors: None

Common prime factors with the greatest exponent: None

Uncommon prime factors: 3 , 5 , 19 , 2 , 89 , 13

Uncommon prime factors with the greatest exponent: 31, 51, 191, 22, 891, 131

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. 51. 191. 22. 891. 131 = 1318980


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