Hello SpecialEd, , thank you very much for contacting us.
It is important to keep in mind that the maximum display resolution natively supported by the HD4000 through DisplayPort* 1.1, HDMI* or VGA is 2560 x 1600.
The maximum amount depends on many factors, such as chipset, monitor capabilities, and manufacturer configurations. I would recommend you to check with Dell and Lenovo what is the maximum resolution supported by them.
Additional information can be found at this article: Graphics — Display Resolutions Frequently Asked Questions (FAQ)