Permuted multiples

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.