Math Problem : GG.5 Share oranges with several persons

Even when it is going to share many orange with seven persons or with five persons or with three persons, two pieces remain.

How many orange are there at fewest ?











Answer
107 pieces

Solution
The number of the common multiple of 7, 5, and 3 plus two turns into the number of oranges.

Since it is the smallest number, it is the least-common-multiple of 7,5 and 3 plus 2 = 105 + 2 = 107 pieces.