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Calculate the Least Common Multiple or LCM of 57, 114 and 247

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The instructions to find the LCM of 57, 114 and 247 are the next:

1. Decompose all numbers into prime factors

573
1919
1
1142
573
1919
1
24713
1919
1

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

Prime factors of 57=3 . 19
Prime factors of 114=2 . 3 . 19
Prime factors of 247=13 . 19

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

Common prime factors: 19

Common prime factors with the greatest exponent: 191

Uncommon prime factors: 3 , 2 , 13

Uncommon prime factors with the greatest exponent: 31, 21, 131

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 = 191. 31. 21. 131 = 1482


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