Determine the LCM of two numbers if their HCF is 9 and their ratio is 14 : 19.

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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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SSC CGL Tier 1 2025 Full Test - 01
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Detailed Solution

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Given:

HCF is 9 and their ratio is 14 : 19.

Concept used:

1. LCM is the smallest common multiple of two or more numbers.

2. HCF is the largest number or quantity that is a factor of each member of a group of numbers.

Calculation:

First number = 14 × 9 = 126

Second number = 19 × 9 = 171

LCM (126, 171)

⇒ 9 × 14 × 19

⇒ 2394

∴ Their LCM is 2394.

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