Question
Download Solution PDFp, q, r are three numbers such that the LCM of p and q is q and the LCM of q and r is r. The LCM of p, q and r will be
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
p, q, r are three numbers such that:
LCM(p, q) = q
LCM(q, r) = r
Formula used:
LCM of multiple numbers is the smallest number divisible by all.
Calculation:
From the conditions:
⇒ LCM(p, q) = q implies p is a factor of q.
⇒ LCM(q, r) = r implies q is a factor of r.
⇒ Therefore, p is a factor of q, and q is a factor of r. Hence, p is also a factor of r.
⇒ The LCM of p, q, and r will be the largest number, which is r.
The correct answer is option (2).
Last updated on Mar 7, 2025
-> Candidate Can Download ADRE Result 2025 Here.
-> The ADRE Class 3 2025 Notification will be released soon on the official website.
-> Details regarding vacancies, eligibility, and application dates will be provided in the official notification.
-> This recruitment aims to fill government positions across various departments in Assam, requiring candidates to meet eligibility criteria and clear the selection process.