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Question

The LCM and HCF of two numbers are 132 and 22 respectively. If one of the numbers is 132, find the other number.

This question was previously asked in
RPF Constable 2018 Question Paper PDF (16-Feb-2019) (Shift 2)
The correct answer is

22

22 is correct.

For any two numbers, the product of the numbers equals the product of their LCM and HCF.

Other number \(=\dfrac{132\times 22}{132}=22\).

Check: 22 divides 132, so the HCF of 132 and 22 is 22 and their LCM is 132.

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Important Questions from LCM and HCF

  1. The LCM of $3^3 \times 8^2 \times 13$, $3^2 \times 13^2 \times 16$ and $8^3 \times 13^2 \times 16^2$ is:
  2. The sum of two numbers is 80 and their L.C.M. is 558. What are the two numbers?
  3. The LCM of the numbers 6.3 and 0.07 is:
  4. The HCF and LCM of two numbers are 11 and 330, respectively. If one of the numbers is 110, find the other one.

  5. The sum of two numbers is 57 and their L.C.M. is 812. What are the two numbers?
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