Would the Lenovo Z70 17.3 laptop run Fallout 4?

Intel Core i7-5500U 2.2 GHz Processor
16 GB DDR3L SDRAM
1 TB 5400 rpm Hard Drive, 8 GB Solid-State Drive;DVDRW
17.3-Inch Screen, NVIDIA GeForce GT840M 2GB
Windows 10, 4-hour battery life

Your system specs meets the necessary system requirement for FO4 You should be able to play it on Med settings at 768p Res with playable 30-40+ Fps. At 1080p Res you may be able to play on Low settings with No Msaa, texture, shadow etc