Check to see whether the ice maker has been turned off. Here's how to check. Look for a wire along the right side of the ice maker that looks a bit like a coat hanger. If this wire is in the raised position, the ice maker is turned off. On some units you simply lower the wire to the down position to turn the ice maker on. On others, you lower a small red plastic lever to lower the wire. If the wire is in the proper position check the freezer temperature, it should be between 0-8 degrees Fahranheit. If it is warmer than 10-12 degrees, the ice maker may not produce any ice. Check your door seals and thermostat, repair/replace as necessary. Water hardness has a lot to do with how long a ice maker will work. These things gum up quickly.
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Here's the ice maker assembly: http://www.repairclinic.com/PartDetail/Ice-Maker-Assembly/1396369?modelNumber=LFX25960ST
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Here's the ice maker assembly: https://www.ifixit.com/products/aeq36756901-lg-refrigerator-ice-maker
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Here's the water filter: http://www.repairclinic.com/PartDetail/Water-Filter/1266885?modelNumber=LFX25960ST
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Here's the water filter: https://www.ifixit.com/products/5231ja2006f-lg-refrigerator-filter
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Water inlet valve: http://www.repairclinic.com/PartDetail/Water-Inlet-Valve/1395331?modelNumber=LFX25960ST
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Water inlet valve: https://www.ifixit.com/products/mjx41178908-lg-refrigerator-water-inlet-valve
I would remove it and let it warm up and play with it to try to determine where the problem is.
Check to see whether the ice maker has been turned off. Here's how to check. Look for a wire along the right side of the ice maker that looks a bit like a coat hanger. If this wire is in the raised position, the ice maker is turned off. On some units you simply lower the wire to the down position to turn the ice maker on. On others, you lower a small red plastic lever to lower the wire. If the wire is in the proper position check the freezer temperature, it should be between 0-8 degrees Fahranheit. If it is warmer than 10-12 degrees, the ice maker may not produce any ice. Check your door seals and thermostat, repair/replace as necessary. Water hardness has a lot to do with how long a ice maker will work. These things gum up quickly.
Here's the ice maker assembly: http://www.repairclinic.com/PartDetail/Ice-Maker-Assembly/1396369?modelNumber=LFX25960ST
Here's the water filter: http://www.repairclinic.com/PartDetail/Water-Filter/1266885?modelNumber=LFX25960ST
Water inlet valve: http://www.repairclinic.com/PartDetail/Water-Inlet-Valve/1395331?modelNumber=LFX25960ST
I would remove it and let it warm up and play with it to try to determine where the problem is.