In a school there are two sections, namely A and B, of class X. there are `30` students in section A and `28` students in section B. find the minimum number of books required for their class library so that they can be distributed equally among students of section A ore section B.

In a school there are two sections, namely A and B, of class X. there

1.	In a school there are two sections, namely A and B, of class X. there are `30` students in section A and `28` students in section B. find the minimum number of books required for their class library so that they can be distributed equally among students of section A ore section B.
Answer» Clearly, the required number of books are to be distributed equally among the students of section A or B. So , the number of these books must be a multiple of 30 as well as that of 28. Consequently, the required number is LCM( 30,28) Now ,` 30 = 2xx3xx5` and ` 28 = 2^(2)xx7` LCM ( 30,28) = product of prime factors with highest power . ` ( 2^(2) xx 3 xx 5xx7) = ( 4xx 3xx 5xx7) = 420` Hence , the required number of books = 420.