Coinbase doesn't support LTCC, and in an email to me simply said that if I was interesting in collecting it I would've needed to move my LTC to on offline wallet prior to the fork on Sunday.
I found an old article that Coinbase released, or an information FAQ, when Bitcoin Cash was created. I'm surprised that they gave Bitcoin holders that kind of advanced notice last August (before they supported Bitcoin Cash), but they didn't notify LTC holders of the same scenario this last weekend.
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