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Calculate the Least Common Multiple or LCM of 57, 70, 74 and 77

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The instructions to find the LCM of 57, 70, 74 and 77 are the next:

1. Decompose all numbers into prime factors

573
1919
1
702
355
77
1
742
3737
1
777
1111
1

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

Prime factors of 57=3 . 19
Prime factors of 70=2 . 5 . 7
Prime factors of 74=2 . 37
Prime factors of 77=7 . 11

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: 3 , 19 , 2 , 5 , 7 , 37 , 11

Uncommon prime factors with the greatest exponent: 31, 191, 21, 51, 71, 371, 111

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 = 31. 191. 21. 51. 71. 371. 111 = 1623930


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