What is the smallest whole number that has a remainder of 1 when divided by 4, a remainder of 2 when divided by 3, and a remainder of 2 when divided by 5?
N mod 4 ==1
N mod 3 ==2
N mod 5 ==2
LCM[3, 4, 5]==60
N ==60m + 17, where m=0, 1, 2, 3.......etc.
When m=0, N ==17 - which is the smallest whole number that satisfies the 3 congruences.