Question
Download Solution PDF2, 3, 5, 6, 9 और 18 से विभाज्य वह न्यूनतम संख्या ज्ञात कीजिए, जो एक पूर्ण वर्ग है।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFप्रयुक्त अवधारणा:
सबसे छोटी पूर्ण वर्ग संख्या ज्ञात करना जो 2, 3, 5, 6, 9 और 18 से विभाज्य है।
सबसे पहले, दी गई संख्याओं का लघुत्तम समापवर्त्य (LCM) ज्ञात कीजिए।
गणना
LCM (2, 3, 5, 6, 9 और 18) = 90
90 = 2 × 3 × 3 × 5
क्योंकि LCM के गुणनखंड में 2 और 5 जोड़ी में नहीं हैं, इसलिए इसे एक पूर्ण वर्ग बनाने के लिए हमें 90 को 5 और 2 से गुणा करना होगा।
90 × 2 × 5 = 900
∴ 2, 3, 5, 6, 9 और 18 से विभाज्य न्यूनतम पूर्ण वर्ग संख्या 900 है।
Last updated on Jul 9, 2025
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