I have downloaded the binarie
LimeWireLinux.bin
but when I execute it, my computer gives me the message:
"Preparing to install...
Extracting the installation resources from the installer archive...
Configuring the installer for this system's environment...
No Java virtual machine could be found from your PATH
environment variable. You must install a VM prior to running this program."
I think I really don't have JVM installed, how can I download/install JVM?
My system is Red Hat Linux 7.3

You can download the Java Virtual Machine here.

After it is installed, you may still recieve this error message. To remedy this you need to create a symlink from the JRE binaries to somewhere in your path (I used /usr/local/bin). To do this, as root, type:
ln -s <JRE Install Path>/j2sdk1.4.2/bin/* /usr/local/bin

For the default installation, your JRE Install path is /opt/j2sdk_nb, so the command is:

ln -s /opt/j2sdk_nb/j2sdk1.4.2/bin/* /usr/local/bin

Hope this helps,
Eric