LG Model LFX28968ST stopped making ice. Still dispenses water. 3 days ago the ice maker started making less ice than before. It is not making any ice. There are no error codes on the front panel

SOURCE: Ice maker stopped after electric shutoff

You may have a problem with the computer control board in the ice maker.  Try this.  Turn off the icemaker for about 2 minutes.  
Turn on the ice maker and press the clear button.  Press and hold this button for 12 seconds to get it to force extract.  This will confirm that the motors will work and push the ice cubes out.  Afterwards, let it run by itself.  If it still doesn't make ice, you will need to replace the icemaker.

SOURCE: Amana Side-by-Side Fridge Model SBD21VPSE

If there is a reset button on your ice maker try pushing it. Many ice makers have two holes for reset. A general rule of thumb is if the ice maker fingers are stopped in a slightly vertical position then your ice maker unit is working. If the fingers are stopped anywhere else then it needs some sort of attention or replaced. Make sure there is water, or ice in the ice maker tray, if not then the problem is with water supply.

SOURCE: water dispenser on front of refrigerator door does not dispense water. Ice Cube maker continues to make ice cubes. Defrosting doesn't fix problem.

Water dispensing solenoid is bad. You need to replace the solenoid valve. This typically is independent of the ice maker.

SOURCE: Kenmore Elite refrigerator ice and water dispensers not working

check for a child lockout button it will look like a tiny padlock ,press and hold for 3 sec.(could be the freezer door light switch)

SOURCE: ice maker not dispensing ice

If the dispensor light switches to cubed or crushed , the panel is good . Remove the ice bin , and hold the light switch in . Press the arm for CRUSHED ice , and if you hear a buzzing or hum , then the auger motor is frozen . Use a hair dryer directly on the " forks " for a while , ocasionally holding switch and activating arm , until the forks move . Lower the freezer temp slightly and reinstall the ice bin .