Are you using the online installer? The online installation can sometimes have corruption problems Try it this way:

First of all, install Java. Download the JRE offline installer & remove any other Java versions installed (via Add/Remove Programs) before you install the latest Java.
Java SE Downloads

After Java's installed, install LW. When you click to download the LW installer, cancel the dialog box which pops up...now use the option to download the offline installer.
Lime Wire » Download LimeWire

If you still can't install, use the 'other' installer.
Installing using the 'other' installer


Sorry...I'm not sure which link you've tried already, there are so many in this thread!