The H.C.F. of the two numbers is 29 and the other two divisors of their Least Common Multiple are 23 and 25. Find the largest number among them.

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  1. 628
  2. 725
  3. 625
  4. 685

Answer (Detailed Solution Below)

Option 2 : 725
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UP Police SI (दरोगा) Official PYP (Held On: 2 Dec 2021 Shift 1)
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Detailed Solution

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Given:

HCF of two numbers = 29

Two divisors of LCM = 23 and 25

Calculation:

As we know, HCF is a factor of LCM.

LCM = 29 × 23 × 25

First number = 29 × 23 = 667

Second number = 29 × 25 = 725

Therefore, the largest number among them is 725.

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