Question
Download Solution PDFदो संख्याओं के लघुत्तम समापवर्त्य (LCM) और महत्तम समापवर्तक (HCF) का अनुपात 3 : 1 है, और उन संख्याओं का गुणनफल 432 है। लघुत्तम समापवर्त्य (LCM) और महत्तम समापवर्तक (HCF) का मान क्रमशः ज्ञात कीजिए ।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
दो संख्याओं के लघुत्तम समापवर्तक (LCM) और महत्तम समापवर्तक (HCF) का अनुपात 3:1 है।
उन दो संख्याओं का गुणनफल 432 है।
प्रयुक्त सूत्र:
LCM × HCF = दो संख्याओं का गुणनफल
गणना:
मान लीजिए कि HCF x है।
इसलिए, LCM = 3x
दिया गया है: LCM × HCF = 432
⇒ 3x × x = 432
⇒ 3x2 = 432
⇒ x2 = 144
⇒ x = 12
⇒ LCM = 3x = 3 × 12 = 36
∴ सही उत्तर विकल्प (1) है: 36 और 12
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