will it work on WinXP (?!), and if so, which version ?
Have a look at: System Requirements | LibreOffice - Free Office Suite - Based on OpenOffice - Compatible with Microsoft
where it states which SP of XP is required to run LibreOfffice (and the other specs)
And take a look at 5.4 release notes, where it’s officially stated that 5.4 is the last version to support XP/Vista.
If you have an old PC you can install Linux in your PC. On an old computer Linux is very fast and LibreOffice is installed directly.
Xubuntu is a special Linux version for old computers :
http://distrowatch.com/table.php?distribution=xubuntu
Alternatively you can install Mint-Mate
http://distrowatch.com/table.php?distribution=mint
Good luck !