Question

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. 30
• B. 36
• C. 288
• D. 1440

Answer 1

The correct option is D

1440

Number of books required if the number of students in section A , B and C are 30, 32 and 36 is the LCM of 30, 32 and 36

$32=2^{5}36=2^2\times 3^{2}30=2\times 3\times 5$

LCM of $30,32\text{and}36=2^5\times 3^2\times 5=1440$

Therefore, number of books required = 1440