Lime Lake-Machias is a census-designated place including part of the Town of Machias, in Cattaraugus County, New York, USA. The population was 1,422 at the 2000 census. Lime Lake-Machias apartments for rent comparison page shows most up to date rent information on Lime Lake-Machias apartments and houses. Rent information is obtained from multiple rental sources but we cannot guarantee their accuracy.