Yah, sorry, guess it should have been mentioned.
Most of the information on here is for SKT, because that is what has been posted around the web.
Also, I am/will be using SKT.
If you are with KT or LG please help us out and post your information as well!
Now, to find out if the rooting will work for the LTE version.....
I'm afraid to try without know for sure.
Samsung Galaxy S III LTE (SHV-E210S)
Stock Jelly Bean 4.1.2 (E210SKSJMB7) - rooted with Tegrak
Samsung Galaxy Tab 10.1 (SHW-M380W - Transformed into GT-P7510)
Fourth Bar: Revolution with Yoda's Kernel v2.2
Samsung Galaxy S SHW-M110S - Retired