SOLUTION: Show that the sum of the reciprocals of three different positive integers is greater than 6 times the reciprocal of the product.

SOLUTION: Show that the sum of the reciprocals of three different positive integers is greater than 6 times the reciprocal of the product.

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Question 1137859: Show that the sum of the reciprocals of three different positive integers is greater than 6 times the reciprocal of the product.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

If ,, are the positive integers

so

The lowest positive integers that are different are ,,.

so, the lowest value that could have is and
therefore
is

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