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Calculate the Least Common Multiple or LCM of 29, 116 and 478

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The instructions to find the LCM of 29, 116 and 478 are the next:

1. Decompose all numbers into prime factors

2929
1
1162
582
2929
1
4782
239239
1

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

Prime factors of 29=29
Prime factors of 116=22 . 29
Prime factors of 478=2 . 239

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: 29 , 2 , 239

Uncommon prime factors with the greatest exponent: 291, 22, 2391

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 = 291. 22. 2391 = 27724


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