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Calculate the Least Common Multiple or LCM of 221, 250 and 286

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The instructions to find the LCM of 221, 250 and 286 are the next:

1. Decompose all numbers into prime factors

22113
1717
1
2502
1255
255
55
1
2862
14311
1313
1

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

Prime factors of 221=13 . 17
Prime factors of 250=2 . 53
Prime factors of 286=2 . 11 . 13

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: 13 , 17 , 2 , 5 , 11

Uncommon prime factors with the greatest exponent: 131, 171, 21, 53, 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 = 131. 171. 21. 53. 111 = 607750


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