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Calculate the Least Common Multiple or LCM of 10, 164 and 286

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The instructions to find the LCM of 10, 164 and 286 are the next:

1. Decompose all numbers into prime factors

102
55
1
1642
822
4141
1
2862
14311
1313
1

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

Prime factors of 10=2 . 5
Prime factors of 164=22 . 41
Prime factors of 286=2 . 11 . 13

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

Common prime factors: 2

Common prime factors with the greatest exponent: 22

Uncommon prime factors: 5 , 41 , 11 , 13

Uncommon prime factors with the greatest exponent: 51, 411, 111, 131

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 = 22. 51. 411. 111. 131 = 117260


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