Question

3)
A school has three sections of Class 10. They need to have enough books in the class library so
that they can be distributed equally in the three sections . What is the minimum number of books
required if the number of students in section A, B and C are 30, 32 and 36 respectively?
(a) 36 (b) 30 (c) 288 (d) 1440​

Answer 1

Answer:

d 288

Step-by-step explanation:

It is given that there are 32 students in section A and 36 students in section B.

To determine the minimum number of books required to distribute equally among students of section A and section B, we need to find the LCM of 32 and 36.

To find the LCM, we find the prime factors of 32 and 36 as follows:

Prime factors of 32 are 2. Prime factorization of 32 in exponential form is:

32=2

5

Prime factors of 36 are 2,3. Prime factorization of 36 in exponential form is:

36=2

2

×3

2

Now multiplying the highest exponent prime factors to calculate the LCM of 32 and 36, we have:

LCM(32,36)=2

5

×3

2

=288

Hence, the minimum number of books required to distribute equally among students of section A and section B are 288.

Thank you