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Calculate the Least Common Multiple or LCM of 391, 448 and 483

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The instructions to find the LCM of 391, 448 and 483 are the next:

1. Decompose all numbers into prime factors

39117
2323
1
4482
2242
1122
562
282
142
77
1
4833
1617
2323
1

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

Prime factors of 391=17 . 23
Prime factors of 448=26 . 7
Prime factors of 483=3 . 7 . 23

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: 17 , 23 , 2 , 7 , 3

Uncommon prime factors with the greatest exponent: 171, 231, 26, 71, 31

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 = 171. 231. 26. 71. 31 = 525504


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