if two positive integers p and q can be expressed as, p=ab^2 and q=a^3b; a,b being prime numbers, then LCM (p,q) is :
(A) ab
(B) a^2
(C) a^3b^2
(D) a^3b^3
Answers
Answered by
12
Answer:
p= a b b
q= a a a b
Hcf = ab
∴ LCM of p and q = LCM (ab^2,a^3b) = a × b × b × a × a = a^3b^2
[Since, LCM is the product of the greatest power of each prime factor involved in the numbers].
Option c is the correct answer
(you can also multiply p and q and then divide them from hcf)
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Answered by
0
p= a b b
q= a a a b
Hcf = ab
∴ LCM of p and q = LCM (ab^2,a^3b) = a × b × b × a × a = a^3b^2
[Since, LCM is the product of the greatest power of each prime factor involved in the numbers].
Option c is the correct answer
(you can also multiply p and q and then divide them from hcf)
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