Question : The ratio of two numbers is 7 : 13 and their HCF is 8. Their LCM is:
Option 1: 628
Option 2: 782
Option 3: 872
Option 4: 728
Correct Answer: 728
Solution : According to the question Since the HCF of the two numbers = 8 Then, the numbers are 7 × 8 = 56 and 13 × 8 = 104 Also, the product of the two numbers = HCF of the numbers × LCM of the numbers ⇒ HCF × LCM = 56 × 104 ⇒ 8 × LCM = 56 × 104 $\therefore$ LCM = 728 Hence, the correct answer is 728.
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Question : The ratio of the two numbers is 5 : 7 and their HCF is 3. Their LCM is:
Option 1: 75
Option 2: 105
Option 3: 125
Option 4: 35
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 : 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 : The HCF and the LCM of two numbers are 5 and 175, respectively. If the ratio of the two numbers is 5 : 7, the larger of the two numbers is _______.
Option 1: 35
Option 2: 25
Option 3: 45
Option 4: 75
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
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