రెండు సంఖ్యల HCF 9 మరియు వాటి నిష్పత్తి 14 : 19 అయితే వాటి LCMని కనుగొనండి.

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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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ఇచ్చిన సమస్య:
 
HCF 9 మరియు వాటి నిష్పత్తి 14 : 19.
 
ఉపయోగించిన పద్ధతి:
 
1. LCM అనేది రెండు లేదా అంతకంటే ఎక్కువ సంఖ్యల యొక్క అతి చిన్న సాధారణ గుణకం.
 
2. HCF అనేది సంఖ్యల సమూహంలోని ప్రతి సభ్యునికి కారకంగా ఉండే అతిపెద్ద సంఖ్య లేదా పరిమాణం.
 
సాధన:
 
మొదటి సంఖ్య = 14 × 9 = 126
 
రెండవ సంఖ్య = 19 × 9 = 171
 
LCM (126, 171)
 
⇒ 9 × 14 × 19
 
⇒ 2394
 
∴ వాటి LCM 2394.
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