After the last improvements, the Document Foundation made LibreOffice, run faster, in order to make it usable on Raspberry Pi and other ARM architecture mini computers.

LibreOffice running on Raspberry Pi is not actually news, the developers announced in December 2012 that LibreOffice works on RasPi.
This is what Bjoern Michaelsen, a Canonical Developer said about the topic:
“The availability of LibreOffice, the best free office suite ever, on the Raspberry Pi – the most affordable PC ever, targeted to hardware and software enthusiasts, and schools – is extremely important for The Document Foundation, because it will contribute to the growth of the brand awareness in key market segments”
How to install LibreOffice on Raspbian:
To install all the apps associated with LibreOffice, just do:
$ sudo apt-get install libreoffice
But because RasPi has limited memory you can install only the programs you need, from the default repositories.
Install Word Processor on Raspbian:
$ sudo apt-get install libreoffice-writer
Install Spreadsheet on Raspbian:
$ sudo apt-get install libreoffice-calc
Install Presentation on Raspbian:
$ sudo apt-get install libreoffice-impress
As you may know, Word Processor is the equivalent of Microsoft Word, Spreadsheet is like Microsoft Excel and Presentation is a PowerPoint substitute.
Install other LibreOffice apps:
- Install LibreOffice Draw: sudo apt-get install libreoffice-draw
- Install LibreOffice Database: sudo apt-get install libreoffice-database
- Install LibreOffice Equation: sudo apt-get install libreoffice-math
- Install LibreOffice Mobile Devices Filters: sudo apt-get install libreoffice-filter-mobiledev