What is the minimum number of apples that must be added to the existing stock of 264 apples so that the total stock can be equally distributed among 6,7 or 8 persons?
What is the minimum number of apples that must be added to the existing stock of 264 apples so that the total stock can be equally distributed among 6,7 or 8 persons? Correct Answer 72
The least common multiple of 6, 7 and 8 is 168. To distribute the apples among the persons, the number of apples must be multiple of 168. Now, twice of 168 = 168×2 = 336. So, minimum number of apples must be added = 336 - 264 = 72