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.
[[-177, -19, -2, -107, -3], [-47, 19, 62, -23, 46], [36, -163, -187, 68, -67], [-8, -36, -137, 67, 76], [-84, -70, -71]]