Possible Triplets for (1+1/a)(1+1/b)(1+1/c)=3

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rattanjot
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let a,b,c be integers
how many triplets are possible for
(1+1/a)(1+1/b)(1+1/c) = 3
 
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Consider that a≥b≥c. can u please tell the maximum value of c..!
 
What have you tried so far? Yours seems like a standard max/min problem that can be done, e.g., by Lagrange multipliers.
 
Maybe if you tell us more about the context of the problem and the areas that you

know, we can have a better way of suggesting something useful.