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It is 6 weeks and 3 days
5040
Travelling at a constant 45 mph: 6497 / 45 = 144.38 hours (6 days approximately).
All multiples of their LCM is divisible by them. lcm(8, 7, 6, 5, 4, 3, 2, 1) = 840 therefore need the largest multiple of 840 which is a 3-digit number = 840 x 1 = 840.
51