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Calculate the Least Common Multiple or LCM of 291, 317 and 381

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The instructions to find the LCM of 291, 317 and 381 are the next:

1. Decompose all numbers into prime factors

2913
9797
1
317317
1
3813
127127
1

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

Prime factors of 291=3 . 97
Prime factors of 317=317
Prime factors of 381=3 . 127

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 , 97 , 317 , 127

Uncommon prime factors with the greatest exponent: 31, 971, 3171, 1271

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. 971. 3171. 1271 = 11715369


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