If i unplug every single device in my house including sky and the power to to the loft box the lg tv trips the rcd once the aerial is plugged in again./
Right.
Unplug ALL the other aerial leads into and out of the loft box, so you have JUST the tv plugged into the mains, the loft box plugged into the mains, and just ONE coax cable plugged into the loft box, that being the one that feeds the aerial down from the loft box to the offending tv. The ONLY thing plugged into the tv must be the aerial lead from the loft box, no scart leads, hdmi leads or anything else, no DVD players etc.
Does the RCD trip?
If yes, then in all probability the tv AND the loft box are faulty.
If no, the RCD does not trip, then start plugging the other cables back into the loft box, ONE AT A TIME, i.e the aerial feed into the loft box (from the sky box in the other room) then any other outputs to other tv's.
Then tell us which cable being re connected causes the trip.
If still no trip, re connect, again one at a time, all DVD players, freeview boxes etc.
If you can, sketch out a detailed drawing of ALL the tv's, sky boxes, freeview boxes, amplifiers, splitters etc so we can fully understand the installation.