Question
Download Solution PDF36, 48, 120 और 300 का लघुत्तम समापवर्त्य है:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया है:
- संख्याएँ 36, 48, 120 और 300 हैं।
प्रयुक्त अवधारणा:
- अभाज्य गुणनखंड
गणना:
हम जानते हैं कि,
36 का अभाज्य गुणनखंड = 2 × 2 × 3 × 3
48 का अभाज्य गुणनखंड = 2 × 2 × 2 × 2 × 3
120 का अभाज्य गुणनखंड = 2 × 2 × 2 × 3 × 5
300 का अभाज्य गुणनखंड = 2 × 2 × 3 × 5 × 5
अब हम लघुत्तम समापवर्त्य प्राप्त करने के लिए उभयनिष्ठ अभाज्य गुणनखंडों का युग्म बनाते हैं।
36, 48, 120, और 300 का लघुत्तम समापवर्त्य = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 = 3600
अतः सही उत्तर विकल्प 3 है।
Last updated on Jul 17, 2025
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