MathematicsIn a school there are two sections – section A  and section B  of Class VI  . There are 32 students in section A and 36 in section B. Then, the minimum number of books required for their class library so that they can be distributed equally among students of section A or section B is ____.

In a school there are two sections - section A  and section B  of Class VI  . There are 32 students in section A and 36 in section B. Then, the minimum number of books required for their class library so that they can be distributed equally among students of section A or section B is ____.


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    Solution:

    In a school there are two sections - section A  and section B  of Class VI  . There are 32 students in section A and 36 in section B. Then, the minimum number of books required for their class library so that they can be distributed equally among students of section A or section B is 288.
    Given,
    Number of students in section A = 32.
    Number of students in section B = 36.
    Prime factorization of 32 and 36:
    32=2×2×2×2×2  
    36=2×2×3×3  
    LCM(32, 36) =2×2×2×2×2×3×3=288  
    Therefore, the minimum number of books required for students among section A and B is 288 books.
     
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