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, -178, -123, 7], [-14, 96, 3, -39, 71], [96, -77, -44, -93, 61, -87]]