Question
Download Solution PDFदो संख्याएँ 6 ∶ 5 के अनुपात में हैं। यदि उनका HCF 3 है, तो दोनों संख्याओं का LCM क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
दो संख्याएँ 6 ∶ 5 के अनुपात में हैं।
उनका HCF 3 है।
प्रयुक्त अवधारणा:
1. यदि P, A और B का HCF है, तो A = P × m और B = P × n है। (जहाँ m और n कोई भी धनात्मक पूर्णांक हैं और वे एक-दूसरे के सह-अभाज्य हैं)
2. LCM दो या दो से अधिक संख्याओं का न्यूनतम उभयनिष्ठ गुणज होता है।
गणना:
पहली संख्या = 6 × 3 = 18
दूसरी संख्या = 5 × 3 = 15
LCM (18, 15) = 3 × 6 × 5 = 90
∴ उनका LCM 90 है।
Last updated on Jul 2, 2025
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