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Calculate the Least Common Multiple or LCM of 16, 34, 46 and 58

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The instructions to find the LCM of 16, 34, 46 and 58 are the next:

1. Decompose all numbers into prime factors

162
82
42
22
1
342
1717
1
462
2323
1
582
2929
1

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

Prime factors of 16=24
Prime factors of 34=2 . 17
Prime factors of 46=2 . 23
Prime factors of 58=2 . 29

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

Common prime factors: 2

Common prime factors with the greatest exponent: 24

Uncommon prime factors: 17 , 23 , 29

Uncommon prime factors with the greatest exponent: 171, 231, 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 = 24. 171. 231. 291 = 181424


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