If the product of two positive integers is 144, which of the following could be the LCM and HCF of the two numbers?
I. LCM : 24; HCF : 6
II. LCM : 18; HCF : 8
III. LCM : 16; HCF : 9  Choose the correct choice from the following answers: A) I only B) II and III only C) I and II only D) I and III only E) I, II and III
We need to keep two things in mind here:   1. Product of two numbers = LCM*HCF   2. LCM should be a multiple of HCF   Only Statement I follows these two rules.   Correct Option I only
<result>A</result>
If the product of two positive integers is 144, which of the following could be the LCM and HCF of the two numbers?
I. LCM : 24; HCF : 6
II. LCM : 18; HCF : 8
III. LCM : 16; HCF : 9