A SOLUTION THAT HAS WORKED FOR ME - LESS 3D - HDMI to VGA converter with Audio out - Non Powered & HDMI Switch.
For those with the HDMI failure issues, you will find only the very best hdmi to component RGB converters work well. There are color and clarity issues with non-powered devices, that much I know. I have not tried powered component converters because well, this damn TV is finicky enough and don't want to risk it.
On our TV LG 47LW6500 (LW6500 Series), all 4 HDMI ports died, we're on a pure sine wave battery back up so it wasn't a surge and I'm starting to believe this is a defect. I can confirm after the HDMI ports failed; the coax TV input, component RGB and VGA input all work fine. We have received zero help from LG regarding this issue after numerous discussions and references to the many others online who seem to be experiencing similar issues.
OUR SOLUTION:
$13 HDMI to VGA Converter w/ Audio Out -
http/www.amazon.com/dp/B00VTJVJ3S/ref=sr_rp_1?m=A36PN40E750046&ie=UTF8&qid=1458757051&sr=sr-1&keywords=vga+hdmi+converter
This HDMI to VGA converter works without an external power source which I am cautious about, because I don't want to damage the HMDI port on my other devices. On my specific TV, the VGA input also has a standard stereo 3.5mm input jack right next to it, which works with the audio output on the converter. I have tested this with a PS4, Amazon Fire Stick and other devices all of which look sharp, clear and with no color or clarity issues. My TV also has an optical out, so not only does the sound come through the TV speakers, but you can also pipe it through your receiver via an optical audio cable. Granted the input is only stereo, but it's certainly better than nothing.
MULTIPLE HDMI CONNECTIONS:
I then purchased a good quality automatic 3 port HDMI switch which gave me the ability to keep my other devices connected. $33 on amazon.
http/www.amazon.com/Zettaguard-High-Speed-Wireless-Control-ZW310/dp/B01BV1XBHK?ie=UTF8&psc=1&redirect=true&ref_=oh_aui_detailpage_o00_s00
This solution worked for me and obviously, try these suggestions at your own risk. However, it certainly seems less risky than dismantling your TV, removing and baking a component in the oven and then using that device in your home. That is not something I would want to do.
One last point of caution I would like to note. The VGA to HDMI converter is a rigid device and a VGA cable is quite thick, so any stressed movement could potentially break the HDMI port this is connected to. I highly recommend using a short Male/Female HDMI cable extender to take the stress off the HDMI output from your device. I used the one that came with the Fire TV Stick, it's similar to the following link, just shorter and it takes the stress off the port. You would only need one.
http/www.amazon.com/Extension-Extender-Supports-Television-Xbox360/dp/B00B2HOKKQ/ref=pd_sim_147_3?ie=UTF8&dpID=410gSVxKVeL&dpSrc=sims&preST=_AC_UL160_SR160%2C160_&refRID=0ZZSEZ3ZZJ8QZN8C5MF7
Finally, the only one problem I now have is I lost the ability to display 3D content which really annoys me. We enjoy 3d movies and gaming and this TV at first, was a great solution; too bad. In the end for us, it was a $13 dollar single connection solution or $48 total for multiple devices. I hope this helps anyone in the same boat.