There are several heaps of candies on the table, and the quantity of each heap is different from each other and is a prime number not greater than 100. If any three heaps of candies can be divided among 3 children on average, and any four heaps of candies can be equally divided among 4 children. named children. It is known that one of the piles is 29 pieces, what is the minimum total number of candies on the table.
桌上放有若干堆糖块，每堆数量互不相同且都是不大于100的质数，若中任意三堆糖块可以平均分给3名小朋友，任意四堆糖块也可以平均分给4名小朋友．已知其中有一堆是29块，则桌上放的糖块总数最少是多少块．
<gadget id="calculator">89 + 53 + 41 + 29 + 17 + 5</gadget>
<output>234</output>

<result>234</result>