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
Answer (1)
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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