LR4 runs about 145 psi in the front air struts and 116 psi in the rear at "normal" ride height. I have a under hood compressor that's rated at 150psi, so normal height is attainable. You can also get into to tricks to make the compressor's job easier, such a as jacking a corner off the ground to get the corner you are working with at full extension. Alternatively, someone in your party could carry something like a Powertank. Those things are very handy for several different tasks.
I think you might be thinking of the earlier LR3's, which I understand used to run at something like 248 psi.
Whoa. Why the massive difference in psi? Given the suspension in the 3 and 4 is pretty much identical, is it just the air tank that's holding a lot more pressure, or is there actually more pressure in the air springs?