It would appear to be digital optical output only. The only red/white RCA jacks are input only from what I see online in the LG manual.
So in this sense you could need a converter. Some degree of trial and error will be involved since you are also going to a single analog input on your Bose speaker. Which soundtouch model do you have, btw? That might also make a difference.
I just got an LG 4K UHD smart TV (model 55UH6150), and I can't get sound output to my Bose SoundTouch speaker. I use a left/right audio cable in the TV back panel, which connects with a single AUX-input into the speaker.
The TV has a sound output setting to use internal speakers only, connected device only, or mixed. I set it to mixed, and then to connected device only, and it doesn't output sound to the speaker in either option. This same setup works great with my previous Toshiba as well as a small Vizio I have in the bedroom, so I don't think it's the speaker nor the cable.
Any ideas on what to try?

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