Edit: Due to the fact that this article is old, the installation instructions may not work anymore. In order to successfully install the latest version of LibreOffice, please access the libreoffice tag and open the latest article (the one on top).

The latest installation instructions for LibreOffice
Hello Linux Geeksters. As you may know, LibreOffice is one of the most popular, open-source, cross-platform office suite, developed by The Document Foundation.
The latest version available is LibreOffice 4.4, which has been released a while ago, coming with user interface enhancements, making it the most beautiful UI so far, the Sifr monochrome icon theme is extended, the Sidebar has smoother integration, a new Color Selector has been developed, better support for OOXML file formats has been implemented and many bug-fixes have been implemented.
In this article I will show you how to install LibreOffice 4.4 on Ubuntu 15.04 Vivid Vervet, Ubuntu 14.10 Utopic Unicorn, Ubuntu 14.04 Trusty Tahr, Ubuntu 12.04 Precise Pangolin, Linux Mint 17.1 Rebecca, Linux Mint 17 Qiana, Linux Mint 13 Maya, Pinguy OS 14.04, Elementary OS 0.3 Freya, Elementary OS 0.2 Luna, Peppermint Five, Deepin 2014, LXLE 14.04, Linux Lite 2 and other Ubuntu derivative systems.
Because it is available via PPA, installing LibreOffice 4.4 on Ubuntu 15.04, Ubuntu 14.10, Ubuntu 14.04, Ubuntu 12.04 and derivative systems is easy. All you have to do is add the ppa to your system, update the local repository index, remove the already existing libreoffice version and install the libreoffice package. Like this:
$ sudo apt-get remove libreoffice*
$ sudo add-apt-repository ppa:libreoffice/ppa
$ sudo apt-get update
$ sudo apt-get install libreoffice
Optional, to remove libreoffice, do:
$ sudo apt-get remove libreoffice*