If p and q are positive integers such that p-a b2 and q-a3 b- where a- b are prime numbers- then LCMp- q- -a a bb a2 b2c a3 b2d a3 b3

(c) a3b2 We know p nbsp;and nbsp;q nbsp;are positive integers. It is given that: nbsp;p = ab2 nbsp;and nbsp;q = a3b, nbsp;where nbsp;a and nb ...

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Standard X

Mathematics

Method of Finding HCF

If p and q ar...

Question

If p and q are positive integers such that p = ab² and q = a³b, where a, b are prime numbers, then LCM (p, q) = ?

(a) ab
(b) a²b²
(c) a³b²
(d) a³b³

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Solution

(c) a³b²
We know p and q are positive integers.
It is given that:
p = ab² and q = a³b, where a and b are prime numbers
∴ LCM (p, q) = LCM (ab², a³b)
We know,
LCM = Product of greatest power of each prime factor involved in the numbers
= a³b²

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If two positive integers p and q can be expressed as p = $a b^{2} a n d q = a^{3} b$ ; where a, b being prime numbers, then LCM (p, q) is equal to

A) $a b$
B) $a^{2} b^{2}$
C) $a^{3} b^{2}$
D) $a^{3} b^{3}$

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If p and q are positive integers such that p = ab2 and q = a3b, where a, b are prime numbers, then LCM (p, q) = ? (a) ab (b) a2b2 (c) a3b2 (d) a3b3

(c) a3b2 We know p and q are positive integers. It is given that: p = ab2 and q = a3b, where a and b are prime numbers ∴ LCM (​p, q) = LCM (ab​2, a3b) We know, LCM = Product of greatest power of each prime factor involved in the numbers = a3b2

If p and q are positive integers such that p = ab² and q = a³b, where a, b are prime numbers, then LCM (p, q) = ?

(a) ab
(b) a²b²
(c) a³b²
(d) a³b³

(c) a³b²
We know p and q are positive integers.
It is given that:
p = ab² and q = a³b, where a and b are prime numbers
∴ LCM (p, q) = LCM (ab², a³b)
We know,
LCM = Product of greatest power of each prime factor involved in the numbers
= a³b²