दो संख्याओं का लघुत्तम समापवर्त्य ज्ञात कीजिए, यदि उनका महत्तम समापवर्तक 9 है और उनका अनुपात 14 : 19 है।

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SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 1)
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  1. 2394
  2. 3990
  3. 1596
  4. 3192

Answer (Detailed Solution Below)

Option 1 : 2394
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दिया गया है:

महत्तम समापवर्तक 9 है और उनका अनुपात 14 : 19 है।

प्रयुक्त अवधारणा:

1. लघुत्तम समापवर्त्य, दो या दो से अधिक संख्याओं का सबसे छोटा सार्व गुणनखंड होता है।

2. महत्तम समापवर्तक वह सबसे बड़ी संख्या या मात्रा है, जो संख्याओं के समूह के प्रत्येक सदस्य का एक गुणनखंड होता है।

गणना:

पहली संख्या = 14 × 9 = 126

दूसरी संख्या = 19 × 9 = 171

(126, 171) का लघुत्तम समापवर्त्य:

⇒ 9 × 14 × 19

⇒ 2394

उनका लघुत्तम समापवर्त्य 2394 है।

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