Productive Moving Digits

What is the smallest number which is quadrupled when its last digit is
moved to be its first? Find all such numbers less than one million.

What is the smallest number which is tripled when its first digit is
moved to be its last? Find all such numbers less than one million.

What is the smallest number which becomes five times greater when
its last digit is moved to be its first?
Find all such numbers less than one million.
Source: Martin Gardner's Dr. Matrix, with original embellishments,
Used as Ken's POTD 4/20/94.
Solution
Mail to Ken