Hi
R-commands use some kind of trusted relationship by editing the .rhosts or the /etc/hosts.equiv file.
Run commands sequentially across a cluster from a UNIX server, Part 2: Remote shell (rsh)
So if you don't configure each file, let's say the .rhosts file, on each machine you won't be able to do what you want.
My recommendation is to drop the use of r-commands and use OpenSSH instead. R-commands send info across the network in plain text and their use is known as security pitfall. You can configure OpenSSH in such a way no password prompt is used by exchanging encrypted keys between hosts.
Hope this helps