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Calculate the Least Common Multiple or LCM of 240, 330 and 339

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The instructions to find the LCM of 240, 330 and 339 are the next:

1. Decompose all numbers into prime factors

2402
1202
602
302
153
55
1
3302
1653
555
1111
1
3393
113113
1

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

Prime factors of 240=24 . 3 . 5
Prime factors of 330=2 . 3 . 5 . 11
Prime factors of 339=3 . 113

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

Common prime factors: 3

Common prime factors with the greatest exponent: 31

Uncommon prime factors: 2 , 5 , 11 , 113

Uncommon prime factors with the greatest exponent: 24, 51, 111, 1131

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 = 31. 24. 51. 111. 1131 = 298320


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