How many mega-or-giga-bytes of traffic are you seeing through those servers in a day when you've not synced anything?
A lot of those things look like Adobe-related servers so if you block them your cloud will probably stop working along with its licensing.
Yeah, I forgot about PS & LR needing to phone home for their licenses. As you can see below, Core Sync has used 13.7 MB up & 29.7 down, while LR has used 2.90 GB up and 2.47 GB down! You can also see the huge number of connections that each has made, as well as when they last connected.
Did you upload/sync images from any of your mobile devices?
If not please let us know which version of Lightroom you are using.
Hi Jeff, the core sync funtionality is not related to Lr sync. The core sync is the Creative Cloud file sync. - Guido