What is the name of the famous cave in Kentucky?

Mammoth Cave is renowned as the largest cave system in the world, featuring over 400 miles of explored passageways. It is located in Mammoth Cave National Park in Kentucky, which has been designated a UNESCO World Heritage Site due to its significant geology and diverse ecosystems. The cave is well-known for its impressive limestone formations, unique ecosystems, and historical significance, including its use by Native Americans and early settlers. This rich history and natural beauty contribute to its fame as a landmark attraction in Kentucky, making Mammoth Cave the correct answer.

The other locations mentioned do not belong to Kentucky: Shenandoah Cave and Luray Caverns are in Virginia, while Carlsbad Caverns is located in New Mexico. Each of these caves has its own unique features and attractions, but they do not represent the famous cave specifically associated with Kentucky as Mammoth Cave does.