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Dark Divisibility (Posted on 2013-04-27) Difficulty: 3 of 5
The natural numbers a,b,c,d are such that their least common multiple equals a+b+c+d. Prove that abcd is divisible by 3 or by 5.

No Solution Yet Submitted by Danish Ahmed Khan    
Rating: 5.0000 (2 votes)

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Hints/Tips another | Comment 5 of 18 |

(2,3,3,4)   supports the theorem  as well

Someone, list ALL. other (if any) quadruplets.


  Posted by Ady TZIDON on 2013-04-28 09:30:13
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