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Calculate the Least Common Multiple or LCM of 197, 282 and 312

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The instructions to find the LCM of 197, 282 and 312 are the next:

1. Decompose all numbers into prime factors

197197
1
2822
1413
4747
1
3122
1562
782
393
1313
1

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

Prime factors of 197=197
Prime factors of 282=2 . 3 . 47
Prime factors of 312=23 . 3 . 13

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: 197 , 2 , 3 , 47 , 13

Uncommon prime factors with the greatest exponent: 1971, 23, 31, 471, 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 = 1971. 23. 31. 471. 131 = 2888808


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