what Quicken program suports LLC and Schedule C

The Home & Business version is for personal schedule C.  Actually Deluxe and above will probably work.  I use Premier and use it for self employment.  But the Home & Business version will have more business reports and features.

One thing to know.......To be included in business reports (and I don't know where else) you have to assign the category to a schedule C tax line item number.  To check the tax line assignment open the Category list by either clicking on the Category Icon or go to Tools-Category List or Ctrl+Shift+C.  Then select the category and right click on it to Edit it.  Click on the Tax Reporting Tab and check the box for Tax related and pick a Schedule C: tax line item.