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Calculate the Least Common Multiple or LCM of 704 and 880

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The instructions to find the LCM of 704 and 880 are the next:

1. Decompose all numbers into prime factors

7042
3522
1762
882
442
222
1111
1
8802
4402
2202
1102
555
1111
1

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

Prime factors of 704=26 . 11
Prime factors of 880=24 . 5 . 11

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

Common prime factors: 2 , 11

Common prime factors with the greatest exponent: 26, 111

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 = 26. 111. 51 = 3520


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