Close Divisors

1. Find four 3-digit numbers which have the same first digit, such that the sum of all four numbers is divisible by three of them.
2. For each n (4<=n<=7), can you find a set of n+1 integers, all the same length and beginning with the same digit, such that their sum is divisible by n of them? Try to minimize the sum.
3. For each n (2<=n<=7), find the smallest integer M, such that when you divide M evenly by k, k+1, ..., k+n-1, you get n integers, all beginning with the same digit. You can choose k in each case.