Hi,
Do the pictures come out OK when the LCD screen shows incorrect colouring?
If so, it may be that either the LCD screen has a loose connection or is faulty.
Here is a link to the [guide|55547|ifixit repair guide] for the LCD screen in the camera.
If the connection seems OK you may have to replace the screen if only to prove whether the problem is with the screen or further in the camera e.g. the motherboard.
Here is a link to just one [http://www.ebay.com/itm/NEW-LCD-Display-Screen-for-Panasonic-DMC-LX100-Digital-Camera-Repair-Part-/262086866990|supplier] of the screen (it isn't cheap). It is not a recommendation to use them, it is shown to give an idea of the price.
Hopefully this is of some help.