Adding a LrC license

You can install the creative cloud apps on more than two computers, but you can only be logged in to any two of them at any one time, i.e. when you attempt to use the creative cloud apps on the third computer you will be required to deactivate (i.e. be logged out from) one of the other two.

To my knowledge there isn't a plan that allows you to license three computers under one user for LrC. It is a single user application, and as such is limited accordingly by the Adobe license.