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Question : The ratio of the two numbers is 4 : 5, and their HCF is 3. What is their LCM?

Option 1: 48

Option 2: 80

Option 3: 60

Option 4: 36


Team Careers360 19th Jan, 2024
Answer (1)
Team Careers360 20th Jan, 2024

Correct Answer: 60


Solution : The ratio of the two numbers is 4 : 5.
Let the numbers be 4$x$, 5$x$.
Their HCF = $x$ as 4, 5 are coprime.
So, $x$ = 3
Numbers are 4 × 3 = 12, 5 × 3 = 15
We know the product of two numbers = LCM × HCF
⇒ 12 × 15 = LCM × 3
$\therefore$ LCM = 60
Hence, the correct answer is 60.

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