What are some sets of 4 positive integers whose reciprocals add to equal 1

1/A + 1/B + 1/C + 1/D = 1

Thanks for any help. Any correct answer gets a thumbs up. The most answers gets the "Best Answer".

(2,3,12,12}
{2,4,8,8}
{2,5,5,10}
{2,6,6,6}
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{3,3,6,6}
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{4,4,4,4}

Those are all 6 possible combinations. If you allow email and want a proof of that let me know. It's not trivial but I can do it for you if you really want it.

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