Lime Lake-Machias Census Designated Place (historical) is a census located in Cattaraugus County, New York. It appears on the Delevan USGS 7.5-minute topographic quadrangle. The elevation at this location is approximately 1,642.68 feet (500.69 m) above sea level. The nearest populated place is Lime Lake, approximately 0.5 miles to the NNE.