There are 108 possible arrangements of the digits 1-8 such that the number formed by the first two digits is divisible by 3, the third & fourth digits divisible by 4, the fifth and sixth digits divisible by 5, and the seventh and eighth digits divisible by 6.

For example 42763518: 42 = 3x14; 76=4x19; 35=5x7; 18=6x3.

Now if I were to add together those multipliers 14, 19, 7 and 3 I would get a ‘score’ for 42763518 of 43. I did the same for all 80 possible arrangements and found the maximum possible score was 62 and the minimum was 28.

What were the arrangements that led to those scores?