Question : The product of two numbers is 216. If the HCF is 6, then their LCM is:
Option 1: 72
Option 2: 60
Option 3: 48
Option 4: 36
Correct Answer: 36
Solution : Let the numbers be 'a' and 'b'. Given: (a × b) = 216 HCF of 'a' and 'b' = 6 Let LCM of 'a' and 'b' = X ⇒ a × b = 6 × X ⇒ 216 = (6 × X) ⇒ X = $\frac{216}{6}$ ⇒ X = 36 Hence, the correct answer is 36.
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Question : The LCM of two numbers is five times their HCF. If the product of the two numbers is 20480, then find their HCF and LCM, respectively.
Option 1: 46 and 230
Option 2: 48 and 240
Option 3: 64 and 320
Option 4: 56 and 280
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
Question : The product of two numbers is 20000. If their LCM is 800, then what is their HCF?
Option 1: 25
Option 2: 30
Option 3: 35
Option 4: 20
Question : Two numbers are in the ratio 3 : 4. The product of their HCF and LCM is 2700. The sum of the numbers is:
Option 1: 60
Option 2: 105
Option 3: 15
Option 4: 45
Question : The product of two numbers is 726 and their HCF is 11, then their LCM is:
Option 1: 58
Option 2: 68
Option 3: 66
Option 4: 76
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