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Calculate the Least Common Multiple or LCM of 728

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The instructions to find the LCM of 728 are the next:

1. Decompose all numbers into prime factors

7282
3642
1822
917
1313
1

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

Prime factors of 728=23 . 7 . 13

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

Common prime factors: 2 , 7 , 13

Common prime factors with the greatest exponent: 23, 71, 131

Uncommon prime factors: None

Uncommon prime factors with the greatest exponent: None

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 = 23. 71. 131 = 728


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