Question : The ratio of two numbers is 3 : 4 and their HCF is 5. Their LCM is:
Option 1: 10
Option 2: 60
Option 3: 15
Option 4: 12
Correct Answer: 60
Solution : Given: Ratio of two numbers is 3 : 4 and their HCF is 5. Here, the common factor is 5. So, the numbers will be 3 $\times$ 5 = 15 and 4 $\times$ 5 = 20 Now, 15 = 3 × 5 and 20 = 4 × 5 LCM = 3 × 4 × 5 = 60 Hence, the correct answer is 60.
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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
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 4: 45
Question : Determine the LCM of two numbers if their HCF is 12 and their ratio is 13 : 15.
Option 1: 1780
Option 2: 2450
Option 3: 1890
Option 4: 2340
Question : If the LCM of two numbers a and b is 60 and their HCF is 15. Determine their mean proportion.
Option 1: 30
Option 2: 25
Option 4: 4
Question : The ratio of the two numbers is 5 : 7 and their HCF is 3. Their LCM is:
Option 1: 75
Option 3: 125
Option 4: 35
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