Problem #PRU-100603

Problems Number Theory Divisibility The greatest common divisor (GCD) and the least common multiplier (LCM). Mutually prime numbers

Problem

Little Jimmy visited his four aunties today. Each of them prepared a cake for him and his parents. Auntie Martha made a carrot cake, Auntie Camilla made a sponge, Auntie Becky made a chocolate cake and Auntie Anne made a fudge. Jimmy would like to visit the aunties the next time when aunties all make the same cakes again. Auntie Martha makes a carrot cake every two days, Auntie Camilla makes a sponge every three days, Auntie Becky makes a chocolate cake every four days and Auntie Anne makes a fudge every seven days. What day should he pick?