What is the smallest possible positive integer x>5 , that leaves a remainder of 5 whenever it is divided by 14 , 8 or 77 ?
14 = 2x7
8 = 2x2x2
77 = 7x11
LCM = 7x11x8 = 616
adding 5+616 = 621
check:
621÷8 leaves remainder of 5
621÷14 leaves remainder of 5
621÷77 leaves remainder of 5
the number is 621