5/12 = 1/4 + 1/10 + 1/15 = 1/5 + 1/6 + 1/20
Lcm( 12, 4, 10, 15, 5, 6, 20 ) = 6025/60 = 15/60 + 6/60 + 4/60 = 12/60 + 10/60 + 3/60
60 is the smallest number with 6 representations as a sum of 2 primes:
60 = 7+53 = 13+47 = 17+43 = 19+41 = 23+37 = 29+31
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