The median home value in La Fayette, KY is $159,000. The national median home value is $338,100. The average price of homes sold in La Fayette, KY is $159,000. La Fayette real estate listings include condos, townhomes, and single family homes for sale. Commercial properties are also available. If you see a property you’re interested in, contact a La Fayette real estate agent to arrange a tour today!