###
**Formulas you need to remember :**

1. when you want to calculate the least number which when gets divided by numbers namely x,yand z and leaves remainders as a,b and c respectively, then the number can be calculated as ,

number = [LCM of (x,y,z)-p], where p=(x-a)=(y-b)=(z-c)

2.when you want to calculate the least number which when divided by x,y and z leaves the same remainder in each case , then the number will be,

number =[LCM of (x,y,z)+R], where R is the remainder left in each case