Here is the update list for the Skype for Business 2016 client that is part of the Office 2016 Volume Licence version.
|Version||Release Date||KB Article||Download|
|16.0.4432.1000||September 6, 2016||KB3118288||32 bit||64 bit|
|16.0.4405.1000||July 5, 2016||KB3115268||32 bit||64 bit|
|16.0.4393.1002||June 7, 2016||KB3115087||32 bit||64 bit|
|16.0.4378.1000||May 3, 2016||NA||32 bit||64 bit|
|16.0.4363.1000||April 12, 2016||KB3114960||32 bit||64 bit|
|16.0.4351.1000||March 8, 2016||KB3114846||32 bit||64 bit|
|16.0.4339.1000||February 9, 2016||KB3114696||32 bit||64 bit|
|16.0.4312.1001||December 8, 2015||KB3114372||32 bit||64 bit|
Please note that the download links listed are for the Skype for Business 2016 update file, we should check the necessary prerequisites in the related KB article.
An easy way to check which version is installed is using another Office 2016 application, like Word or Outlook, then look into File -> Account:
Office Professional Plus 2016 Volume License
Office Professional Plus 2016 Click-to-Run
Office 365 ProPlus
Note: The Click-to-Run will have the Office Updates option displayed.
The following article contains the click-to-run version and build numbers for Office 365 ProPlus/Office 2016 Professional Plus:
Version and build numbers of update channel releases for Office 365 clients