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LCM 540 (Posted on 2014-12-22) Difficulty: 3 of 5
How many pairs of positive integers, without regard to order, have a least common multiple of 540?

See The Solution Submitted by Charlie    
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Hints/Tips re: One for column A, and one .. (spoiler?) | Comment 5 of 6 |
(In reply to One for column A, and one .. (spoiler?) by Steve Herman)

....without regard to order:

One should count pairs  e.g.    20*27, is one pair - not two.

Still I like your approach, just discount the 540,540 pair ,divide by 2 to get an a<b pair then add  the symmetric pair and you get  53.

- which I believe is the correct answer.

I got 52 and  do not have the time to find where is the miss.

Edited on December 22, 2014, 8:38 pm
  Posted by Ady TZIDON on 2014-12-22 19:03:11

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