There are several real world options which have been mentioned, but I believe only one actually works, and it makes sense...
As linked by
@DeepSeaDan, it is the composite video/analog audio to HDMI converter/scaler. It allows you to simply make the VCR another HDMI source into the system. It's cheap, it is quick, and easy.
From looking online, it does not appear that the Denon converts from composite to HDMI (a cheap expense, but would have added to the price of the receiver).
So, you would then need to connect composite video to the TV... Except, it doesn't appear that the LG C1 has any standard AV connectivity on it. Even though this online guide seems to indicate this is a 'standard' connection. Check your TV for an 'AV IN' (typically yellow) 3.5mm connection on the back of the TV. I expect all you will have is HDMI, USB, and toslink as well as a audio and RS232 connection on the back. No standard AV. If you DO have a standard AV connection, then this may be helpful and is an option that'll save you 20 bucks...
Step-by-Step Guide by Device and Cable Connector
www.lg.com