The Dual Smart Solution isn't used to project things on other devices. It allows you to configure the monitor as a Clone or as an Extended screen.
However, there are some ways that you can use to project the screen on an LG monitor. The simplest solution would be Apple's official Lightning to HDMI adapter and the other is Reflector, an application especially developed for this operation.
The cable can be pretty expensive and the software as well, but free solutions either don't work properly or lack support to various things.