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Calculate the Least Common Multiple or LCM of 107, 176 and 220

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The instructions to find the LCM of 107, 176 and 220 are the next:

1. Decompose all numbers into prime factors

107107
1
1762
882
442
222
1111
1
2202
1102
555
1111
1

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

Prime factors of 107=107
Prime factors of 176=24 . 11
Prime factors of 220=22 . 5 . 11

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: 107 , 2 , 11 , 5

Uncommon prime factors with the greatest exponent: 1071, 24, 111, 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 = 1071. 24. 111. 51 = 94160


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