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. Determine 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.

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Solution

We have to find the LCM of 32 and 36.
Prime factorisation of 32 = 2 × 2 × 2 × 2 × 2
Prime factorisation of 36 = 2 × 2 × 3 × 3

Required LCM = 2 × 2 × 2 × 2 × 2 × 3 × 3 = 288
∴ Minimum number of books required = LCM of 32 and 36 = 288 books

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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. Determine 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.

We have to find the LCM of 32 and 36. Prime factorisation of 32 = 2 × 2 × 2 × 2 × 2 Prime factorisation of 36 = 2 × 2 × 3 × 3 Required LCM = 2 × 2 × 2 × 2 × 2 × 3 × 3 = 288 ∴ Minimum number of books required = LCM of 32 and 36 = 288 books

We have to find the LCM of 32 and 36.
Prime factorisation of 32 = 2 × 2 × 2 × 2 × 2
Prime factorisation of 36 = 2 × 2 × 3 × 3

Required LCM = 2 × 2 × 2 × 2 × 2 × 3 × 3 = 288
∴ Minimum number of books required = LCM of 32 and 36 = 288 books