Question

Here it is:
One night the palace was having a midnight snack.
The king ate 1/6 of the mangoes.
The Queen ate 1/5 of the remaining mangoes. The 1st prince ate 1/4 of the mangoes left. Then the 2nd prince ate 1/3 of the remaining mangoes. And the third prince ate 1/2 of the remaining mangoes, leaving 3 left for the servants.How many mangoes were originally in the bowl counting the three for the servants? Please show your work or how you got the answer?