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Calculate the Least Common Multiple or LCM of 910 and 1001

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The instructions to find the LCM of 910 and 1001 are the next:

1. Decompose all numbers into prime factors

9102
4555
917
1313
1
10017
14311
1313
1

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

Prime factors of 910=2 . 5 . 7 . 13
Prime factors of 1001=7 . 11 . 13

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

Common prime factors: 7 , 13

Common prime factors with the greatest exponent: 71, 131

Uncommon prime factors: 2 , 5 , 11

Uncommon prime factors with the greatest exponent: 21, 51, 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 = 71. 131. 21. 51. 111 = 10010


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