Question : Two numbers are in the ratio of 6 : 5. If their HCF is 3, then what is the LCM of the two numbers?
Option 1: 64
Option 2: 110
Option 3: 90
Option 4: 80
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Correct Answer: 90
Solution :
Given: The two numbers are in the ratio 6 : 5.
Their HCF is 3.
Let the numbers be 6$x$ and 5$x$.
HCF( 6$x$, 5$x$ ) = $x$
So, $x$ = 3
The numbers are 18 and 15.
LCM(18, 15) = 90
Hence, the correct answer is 90.
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