In a school library, there are 780 books of English and 364 books of Science. Ms. Yakang, the librarian of the school wants to store these books in shelves such that each shelf should have the same number of books of each subject. What should be the minimum number of books in each shelf?
Number of English books = 780
Number of Science books = 364
Minimum no of books in each shelf is the LCM of no’s of books.
LCM of 780 and 364:
780 = 2 × 2 × 3 × 5 × 13
364 = 2 × 2 × 7 × 13
LCM = Product of common divisors = 2 × 2 × 3 × 5 × 7 × 13 = 5460