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Calculate the Least Common Multiple or LCM of 290 and 3174

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The instructions to find the LCM of 290 and 3174 are the next:

1. Decompose all numbers into prime factors

2902
1455
2929
1
31742
15873
52923
2323
1

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

Prime factors of 290=2 . 5 . 29
Prime factors of 3174=2 . 3 . 232

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

Common prime factors: 2

Common prime factors with the greatest exponent: 21

Uncommon prime factors: 5 , 29 , 3 , 23

Uncommon prime factors with the greatest exponent: 51, 291, 31, 232

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 = 21. 51. 291. 31. 232 = 460230


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