Liability Coverage for a house within an LLC

[Dan N.]

I am in the process of buying a $170K house. I plan to own it in an LLC.
I am quoting insurance companies and for liability coverage, I was wondering if the liability coverage should be approximately the same value of assets that are within the LLC (in this case, 1 house of $170K), or, should I have a much larger liability coverage ($500K-$1M)?

*No need to mention to me umbrella policies. I am aware but unfortunately they are not relevant to this discussion.