Is that PS2/3 Grand Turismo 4 wheel adapted with usb adapter will work with LFS?

what wheel are you talking about? Formula Force EX? DFP? G25? but to answer your question, alot of ps2 wheels are useable on PC's.

its similar to GT4 wheel, but this one is GT Racing king

check the box for saying pc/ps2 or just ps2

the cable is in ps2, but i try to use ps2 controller's adapter, it might be working but nvm, i'll give a try 1st before buying, its used wheel =D