Java VM!
 

Here's what I did...

I extracted the binary files into the directory /usr/java/jre1.3.1_01
I typed in the following commands...

export PATH=/usr/java/jre1.3.1_01/$PATH
export JAVA_HOME=/usr/java/jre1.3.1_01

When I tried to run the LimeWire install it said this...

No Java Virtual Machine could be found from your PATH enviroment variable. You must install a VM prior to running this program.

Any ideas?

Download the rpm and install as root.