In this task, you are given a list. This list contains many lists of integers. The list is several items written within a []. Your task is to find the maximum number among the members of each inner list. The output should be a list comprised of the maximums with the same order as the internal lists.
[[84, -169, -72, -141, -140, -100, -187], [59, 78, -170, -46, -47, -36], [-93, 77, 43, -101]]