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
Answer (1)
23rd Jan, 2024
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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