If you owned a Nexus 7 2013 LTE version, then you might want to read this latest tech news. Nexus 7 just received its Android 5.1 Lollipop update to build LMY47O similar to Nexus 4. Unfortunately, the Wi-Fi variants of this Nexus model will not get this android 5.1 update.
The update file size will be under 200MB and you can expect to see some improvements into your device performance, new bug fixes, animation tweaks, memory drains solution and an improved heads-up notification bar. The OTA update has already been released but you might not able to see it right away on your device.
If you are very much excited to update your OS, then you can just download the files needed through this link.