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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Question : The ratio of the two numbers is 6 : 7 and their HCF is 3. Their LCM is _____.
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Question : If the LCM and the HCF of two numbers are 12 and 2 respectively, then find the mean proportional of these numbers.
Question : Determine the LCM of two numbers if their HCF is 9 and their ratio is 14 : 19.
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