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Question : The highest common factor and the least common multiple of the two numbers are 12 and 120, respectively. If one of the numbers is 60, then what will be the other number?

Option 1: 12

Option 2: 18

Option 3: 20

Option 4: 24


Team Careers360 7th Jan, 2024
Answer (1)
Team Careers360 14th Jan, 2024

Correct Answer: 24


Solution : HCF = 12
LCM = 120
One number = 60
Let $x$ be the second number.
We know that HCF × LCM = product of two numbers
⇒ 12 × 120 = 60 × $x$
⇒ $x$ = $\frac{12 × 120}{60}$ = 24
Hence, the correct answer is 24.

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