Question : Determine the LCM of two numbers if their HCF is 9 and their ratio is 14 : 19.
Option 1: 2394
Option 2: 3990
Option 3: 1596
Option 4: 3192
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Correct Answer: 2394
Solution :
Given, HCF = 9
$\therefore$ 1st number = 14 × 9 = 126
Also, 2nd number = 19 × 9 = 171
⇒ LCM of 126 and 171 = 9 × 14 × 19 = 2394
Hence, the correct answer is 2394.
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