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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