Question : The product of the two numbers is 38025 and their highest common factor is 65. What is the least common multiple of these numbers?
Option 1: 455
Option 2: 585
Option 3: 715
Option 4: 435

Question

Question : The product of the two numbers is 38025 and their highest common factor is 65. What is the least common multiple of these numbers?

Option 1: 455

Option 2: 585

Option 3: 715

Option 4: 435

Team Careers360 · Accepted Answer

Correct Answer: 585

Solution : Let the two numbers be $a$ and $b$.
$a imes b = 38025$
$ ext{HCF}(a, b) = 65$
We know, $ ext{HCF}(a, b) imes ext{LCM}(a, b) = a imes b$
$ herefore ext{LCM}(a, b) = \frac{a imes b}{ ext{HCF}(a, b)} = \frac{38025}{65} = 585$
Hence, the correct answer is 585.

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Question : The product of the two numbers is 38025 and their highest common factor is 65. What is the least common multiple of these numbers?Option 1: 455Option 2: 585Option 3: 715Option 4: 435

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Question : The product of the two numbers is 38025 and their highest common factor is 65. What is the least common multiple of these numbers?
Option 1: 455
Option 2: 585
Option 3: 715
Option 4: 435