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Sum Inverse LCMs (Posted on 2008-10-03) Difficulty: 3 of 5
Each of P, Q, R, S and T are positive integers with P < Q < R < S < T. Determine the maximum value of the following expression.

[P, Q] -1 + [Q, R] -1 + [R, S] -1 + [S, T] -1

Note: [x, y] represents the LCM of x and y.

No Solution Yet Submitted by K Sengupta    
Rating: 3.5000 (2 votes)

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looks obvious .......spoiler | Comment 1 of 7

 

P, Q] -1 + [Q, R] -1 + [R, S] -1 + [S, T] -1  

EQUALS  96/120=.8  FOR (1, 2,3,4,5)


  Posted by Ady TZIDON on 2008-10-03 12:36:47
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