Programs' rhymes with:
program's, programs, reprograms, program's, programs, reprograms, program's, programs, reprograms, diagrams, electrocardiograms, histograms, holograms, kilograms, logograms, mailgrams, mammograms, micrograms, milligrams, polygram's, program's, programs, reprograms, sonograms, telegrams
Programs' sounds like:
peregrines, perjuring, pressuring, procuring, program's, programing, programming, programs