Find the smallest number which when divided by `18,28,108 and 105` leaves the remainder 7 in each case

Find the least number which when divided by 6,7,8,9 and 12 leaves the remainder '1' in each case.

Find the least number which when divided by 6,7,8,9 and 12 leaves the same remainder 1 in each case.

Find the least number which when divided by 35,56 and 91 leaves the same remainder 7 in each case.

What is the sum of digits of the least number which when divided by 21, 28, 30 and 35 leaves the same remainder 10 in each case but is divisible by 17?

Find the least number which when divided by 16,18,20 and 25 leaves 4 as remainder in each case,but when divided by 7 leaves no remainder.