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प्रश्न
There are two sections A and B of Grade X. There are 28 students in Section A and 30 students in Section B. What is the minimum number of books you will acquire for the class library so that they can be distributed equally among students of Section A or Section B?
विकल्प
144
2
420
272
MCQ
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उत्तर
420
Explanation:
Prime factorization of the numbers:
28 = 22 × 7
28 = 2 × 2 × 7
30 = 2 × 3 × 5
To calculate the LCM, we take the highest power of every prime factor present in the factorizations:
LCM = 22 × 3 × 5 × 7
LCM = 4 × 3 × 5 × 7
LCM = 12 × 35
LCM = 420
Thus, 420 is the smallest number divisible by both student counts.
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