Find the smallest perfect square number which is exactly divisible by 4, 5, 6, 15 and 18 :

वह छोटी से छोटी पूर्ण वर्ग संख्या ज्ञात कीजिए जो 4, 5, 6, 15 तथा 18 से पूर्णत: विभाजित हो :

1. A800
2. B225
3. C900
4. D361

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Show answer & explanation

Correct answer: C. 900

Explanation

LCM(4, 5, 6, 15, 18) = 180 = 2² × 3² × 5. Multiply by 5 to make every power even: 900 = 30².

LCM = 180 = 2² × 3² × 5; पूर्ण वर्ग के लिए 5 से गुणा: 900 = 30²।