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Calculate the Least Common Multiple or LCM of 26, 82, 97 and 116

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The instructions to find the LCM of 26, 82, 97 and 116 are the next:

1. Decompose all numbers into prime factors

262
1313
1
822
4141
1
9797
1
1162
582
2929
1

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

Prime factors of 26=2 . 13
Prime factors of 82=2 . 41
Prime factors of 97=97
Prime factors of 116=22 . 29

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: 2 , 13 , 41 , 97 , 29

Uncommon prime factors with the greatest exponent: 22, 131, 411, 971, 291

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 = 22. 131. 411. 971. 291 = 5997316


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