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Calculate the Least Common Multiple or LCM of 1730 and 4750

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The instructions to find the LCM of 1730 and 4750 are the next:

1. Decompose all numbers into prime factors

17302
8655
173173
1
47502
23755
4755
955
1919
1

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

Prime factors of 1730=2 . 5 . 173
Prime factors of 4750=2 . 53 . 19

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

Common prime factors: 2 , 5

Common prime factors with the greatest exponent: 21, 53

Uncommon prime factors: 173 , 19

Uncommon prime factors with the greatest exponent: 1731, 191

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. 53. 1731. 191 = 821750


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