Question : Two numbers are in the ratio 9 : 7. If their HCF is 6, find their LCM.
Option 1: 189
Option 2: 126
Option 3: 378
Option 4: 252
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Correct Answer: 378
Solution : Let the two numbers be A and B. According to the question, $A = 9x$ and $B = 7x$ HCF of A and B is $x$. Given: HCF of these two numbers = 8 ⇒ $x = 8$ $A = 9x = 9 × 6 = 54$ $B = 7x = 7 × 6 = 42$ $\therefore$ LCM of 54 and 42 = 378 Hence, the correct answer is 378.
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