Permuted multiples

 Published on Friday, 12th September 2003, 06:00 pm; Solved by 65435;
Difficulty rating: 5%

Problem 52

It can be seen that the number, 125874, and its double, 251748, contain exactly the same digits, but in a different order.

Find the smallest positive integer, x, such that 2x, 3x, 4x, 5x, and 6x, contain the same digits.