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
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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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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 : If K1 and K2 are two distinct prime numbers, then what is the product of the highest common factor and the least common multiple of K1 and K2?
Option 1: $1$
Option 2: $\frac{K1}{K2}$
Option 3: $K1 + K2$
Option 4: $K1 × K2$
Question : What will be the ratio of the Least Common Multiple and Highest Common Factor of 12, 24, and 36?
Option 1: 3 : 1
Option 2: 4 : 1
Option 3: 6 : 1
Option 4: 2 : 1
Question : The HCF and LCM of the two numbers are 20 and 2880, respectively. If one of them is 180, then find the other number.
Option 1: 660
Option 2: 350
Option 3: 300
Option 4: 320
Question : What is the Least Common Multiple of 10,12, and 15?
Option 1: 120
Option 2: 180
Option 3: 60
Option 4: 30
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