Two brands of cho

Given : Two brands of chocolates are available in packs of 24 and 15 respectively.
To find : the least number of boxes of each kind.
Solution:

To find the least number of boxes of each kind.we need to find LCM of 24 and 15

Prime factors of 24 = 2 × 2 × 2 × 3

Prime factors of 15 = 3 × 5

Therefore LCM of 24 and 15 is: 2 × 2 × 2 × 3 × 5 = 120

Number of boxes for first chocolate kind = = 5

Number of boxes for second chocolate kind = = 8

Hence 5 boxes of first kind and 8 boxes of second kind needed to buy.