Find all integers a,b,ca, b, ca,b,c with 1<a<b<c1 < a < b < c1<a<b<c such that
(a−1)(b−1)(c−1)(a - 1)(b - 1)(c - 1)(a−1)(b−1)(c−1) is a divisor of abc−1abc - 1abc−1.