वह सबसे छोटी संख्या ज्ञात कीजिए जो 24, 48 और 60 से पूर्णतः विभाज्य होगी।

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  1. 120
  2. 240
  3. 480
  4. 0

Answer (Detailed Solution Below)

Option 2 : 240
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दिया गया है:

वह सबसे छोटी संख्या ज्ञात कीजिए जो 24, 48 और 60 से पूर्णतः विभाज्य होगी।

प्रयुक्त सूत्र:

LCM (लघुत्तम समापवर्त्य)

गणना:

अभाज्य गुणनखंड:

24 = 23 × 3

48 = 24 × 3

60 = 22 × 3 × 5

LCM = 24 × 3 × 5

⇒ LCM = 16 × 3 × 5

⇒ LCM = 240

∴ सही उत्तर 240 है।

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