Enigma 1545: Dressed up to the nines
8 April 2012
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From New Scientist #2708, 16th May 2009 [link]
Hepta wrote down a three-digit number, Otto wrote down a larger number and Nonno wrote down a larger number still.
Hepta’s equalled 7 times a prime, Otto’s equalled 8 times another prime, and Nonno’s equalled 9 times another prime.
Between them, the three numbers used each of the digits 1-9 exactly once.
Furthermore, multiplying the three numbers together gave an answer which also used each of the digits 1-9 exactly once.
What were their numbers?