Ratio of two number is 5: 6 and their HCF is 6. LCM of these two numbers is:

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RRB NTPC Exam 27 Jan 2021 click here to view all questions

Ratio of two number is 5: 6 and their HCF is 6. LCM of these two numbers is:

A150

B180

C90

D120

Akhilesh ? Apr 3 '25 at 21:26

correct answer is: 180
Explanation: The ratio of the two numbers is 5:6, so let the numbers be 5k and 6k.

The HCF of these numbers is k. Given that the HCF is 6, we find k=6.

Thus, the numbers are 30 and 36.

Using the formula \(\text{LCM(a,b)} = \frac{(a \times b)}{\text{HCF(a,b)}}\),

the LCM is \(\frac{(30\times36)}{6}\) = 180.

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correct answer is: 180 Explanation: The ratio of the two numbers is 5:6, so let the numbers be 5k and 6k. The HCF of these numbers is k. Given that the HCF is 6, we find k=6. Thus, the numbers are 30 and 36. Using the formula \(\text{LCM(a,b)} = \frac{(a \times b)}{\text{HCF(a,b)}}\), the LCM is \(\frac{(30\times36)}{6}\) = 180. Akhilesh ? answered Apr 3 '25 at 21:26

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