Find the greatest number of 4 digits which when divided by 12,18, and 24

  1. Find the greatest number of 4 digits which when divided by 12,18, and 24 leaves a remainder 6 in each case.
  2. Find the least number of five digits which on dividing by 15,20,25,30, and 35 leaves a remainder 7 in each case.
  3. Find the smallest 4 digit number which is exactly divisible by 6,8, and 12.
    4.Find the largest 4 digit number which when divided by 16,24 and 32.
    i)leaves no remainder.
    ii)leaves a remainder 8 in all case.