LG UltraFine 4K Display は以下の Mac モデルで使えます。
4096 x 2304 @ 60Hz
MacBook (Retina, 12-inch, Early 2016)
MacBook Pro (15-inch, 2016)
MacBook Pro (13-inch, 2016, Four Thunderbolt 3 Ports)
MacBook Pro (13-inch, 2016, Two Thunderbolt 3 Ports)

4096 x 2304 @ 48Hz
MacBook (Retina, 12-inch, Early 2015)

https://support.apple.com/ja-jp/HT207447