Final answer:
The least number of plumps that can be shared equally among 6, 9, and 12 children is 36.
Step-by-step explanation:
In order to find the least number of plumps that can be shared equally among 6, 9, and 12 children, we need to find the least common multiple (LCM) of the three numbers. The LCM is the smallest multiple that is evenly divisible by all the numbers. In this case, the LCM of 6, 9, and 12 is 36. Therefore, the least number of plumps that can be shared equally among the children is 36.