Class 10 Exam > Class 10 Questions > Two positive integer p and q are written as P...
Start Learning for Free
Two positive integer p and q are written as P =a^b3 and q=a3b;b are prime numbers then verifyLCM(p,q)×HCF(p,q)=pq?
Most Upvoted Answer
Two positive integer p and q are written as P =a^b3 and q=a3b;b are pr...
Look
p = a²b³
q = a^3b
HCF ( p,q ) = a^2b
[ ∵Product of the smallest power of each
common prime factors in the numbers ]
LCM ( p , q ) = a^3b^3
[ ∵ Product of the greatest power of each
prime factors , in the numbers ]
Now ,
HCF ( p , q ) × LCM ( p , q ) = a^2b × a^3b^3
= a^5 b^4
pq = a^2b^3 × a^3b
= a^5 b^4
from this ;we conclude
HCF ( p , q ) × LCM ( p ,q ) = pq
p = a²b³
q = a^3b
HCF ( p,q ) = a^2b
[ ∵Product of the smallest power of each
common prime factors in the numbers ]
LCM ( p , q ) = a^3b^3
[ ∵ Product of the greatest power of each
prime factors , in the numbers ]
Now ,
HCF ( p , q ) × LCM ( p , q ) = a^2b × a^3b^3
= a^5 b^4
pq = a^2b^3 × a^3b
= a^5 b^4
from this ;we conclude
HCF ( p , q ) × LCM ( p ,q ) = pq
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
Two positive integer p and q are written as P =a^b3 and q=a3b;b are prime numbers then verifyLCM(p,q)×HCF(p,q)=pq?
Question Description
Two positive integer p and q are written as P =a^b3 and q=a3b;b are prime numbers then verifyLCM(p,q)×HCF(p,q)=pq? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Two positive integer p and q are written as P =a^b3 and q=a3b;b are prime numbers then verifyLCM(p,q)×HCF(p,q)=pq? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two positive integer p and q are written as P =a^b3 and q=a3b;b are prime numbers then verifyLCM(p,q)×HCF(p,q)=pq?.
Two positive integer p and q are written as P =a^b3 and q=a3b;b are prime numbers then verifyLCM(p,q)×HCF(p,q)=pq? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Two positive integer p and q are written as P =a^b3 and q=a3b;b are prime numbers then verifyLCM(p,q)×HCF(p,q)=pq? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two positive integer p and q are written as P =a^b3 and q=a3b;b are prime numbers then verifyLCM(p,q)×HCF(p,q)=pq?.
Solutions for Two positive integer p and q are written as P =a^b3 and q=a3b;b are prime numbers then verifyLCM(p,q)×HCF(p,q)=pq? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of Two positive integer p and q are written as P =a^b3 and q=a3b;b are prime numbers then verifyLCM(p,q)×HCF(p,q)=pq? defined & explained in the simplest way possible. Besides giving the explanation of
Two positive integer p and q are written as P =a^b3 and q=a3b;b are prime numbers then verifyLCM(p,q)×HCF(p,q)=pq?, a detailed solution for Two positive integer p and q are written as P =a^b3 and q=a3b;b are prime numbers then verifyLCM(p,q)×HCF(p,q)=pq? has been provided alongside types of Two positive integer p and q are written as P =a^b3 and q=a3b;b are prime numbers then verifyLCM(p,q)×HCF(p,q)=pq? theory, EduRev gives you an
ample number of questions to practice Two positive integer p and q are written as P =a^b3 and q=a3b;b are prime numbers then verifyLCM(p,q)×HCF(p,q)=pq? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup