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
Answer (1)
20th Jan, 2024
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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