## Permuted multiples

### Problem 52

Published on Friday, 12th September 2003, 06:00 pm; Solved by 41700; Difficulty rating: 5%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 2*x*, 3*x*, 4*x*, 5*x*, and 6*x*, contain the same digits.