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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?
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Two positive integer p and q are written as P =a^b3 and q=a3b;b are pr...
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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
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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?
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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?.
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