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Q8
(CISF/2021)
Science & Technology › Basic Science (Physics, Chemistry, Biology)
If the LCM and HCF of two positive integers are 18 and 3 respectively, then what is the minimum possible value of their sum ?
Result
Your answer:
—
·
Correct:
B
Explanation
Let the two positive integers be x and y. We are given that HCF(x, y) = 3 and LCM(x, y) = 18.
A fundamental property of numbers states that the product of two numbers is equal to the product of their HCF and LCM:
x × y = HCF × LCM = 3 × 18 = 54.
Since the HCF is 3, the numbers must be multiples of 3. We can write
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