.If two positive integers p and q can be expressed as p = ab2 and q = a3b; a, b being prime numbers, then LCM (p, q) is
Question
(a) ab
(b) a2b2
(c) a3b2
(d) a3b3
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Class 10 Maths
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2021-12-17T16:16:11+00:00
2021-12-17T16:16:11+00:00 1 Answer
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Answer ( 1 )
Answer: (c)
Explanation:
p = a × b × b
q = a × a × a × b
Since L.C.M is the product of the
greatest power of each prime factor
involved in the numbers
Therefore, L.C.M of p and q = a3b2