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Calculate the Least Common Multiple or LCM of 58, 69, 74 and 78

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The instructions to find the LCM of 58, 69, 74 and 78 are the next:

1. Decompose all numbers into prime factors

582
2929
1
693
2323
1
742
3737
1
782
393
1313
1

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

Prime factors of 58=2 . 29
Prime factors of 69=3 . 23
Prime factors of 74=2 . 37
Prime factors of 78=2 . 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: 2 , 29 , 3 , 23 , 37 , 13

Uncommon prime factors with the greatest exponent: 21, 291, 31, 231, 371, 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 = 21. 291. 31. 231. 371. 131 = 1924962


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