Question

a person has 1323 mangoes, 2457 apples and 2835 oranges. he wants to pack them in boxes so that each box has equal number of fruits of same kind. the least number of boxes will be

Answer 1

take L.C.M of all these that will be the answer

Answer 2

We get the GCD of the numbers as below:

1323 = 3 × 3 × 3 × 7 × 7

2457 = 3 × 3 × 3 × 7 × 13

2835 = 3 × 3 × 3 × 3 × 5 × 7

The GCD is :

3³ × 7 = 189

1323/189 = 7

2457/189 = 13

2835/189 = 15

The least of the three is 7.

The least number of boxes is 7 boxes