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Calculate the Least Common Multiple or LCM of 68, 130 and 290

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The instructions to find the LCM of 68, 130 and 290 are the next:

1. Decompose all numbers into prime factors

682
342
1717
1
1302
655
1313
1
2902
1455
2929
1

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

Prime factors of 68=22 . 17
Prime factors of 130=2 . 5 . 13
Prime factors of 290=2 . 5 . 29

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

Common prime factors: 2

Common prime factors with the greatest exponent: 22

Uncommon prime factors: 17 , 5 , 13 , 29

Uncommon prime factors with the greatest exponent: 171, 51, 131, 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. 171. 51. 131. 291 = 128180


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