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The LCM of two given numbers is 6 times the HCF of the numbers. If the smaller of the two numbers is 6, then the other numbers is
- A15
- B8
- C9
- D12
Answer not set
Discussion 1
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CCommunity
Let the other number be X
Now
LCM × HCF = Product if two numbers
As LCM = 6 × HCF
∴ 6 × HCF × HCF = 6 × X
∴ HCF2 = X
Now as HCF is square root of other number
∴ From options we can say that the answer is 9
We can also check that the LCM of 9 and 6 is 18 and HCF of 9 and 6 is 3
Hence LCM = 6 × HCF
Now
LCM × HCF = Product if two numbers
As LCM = 6 × HCF
∴ 6 × HCF × HCF = 6 × X
∴ HCF2 = X
Now as HCF is square root of other number
∴ From options we can say that the answer is 9
We can also check that the LCM of 9 and 6 is 18 and HCF of 9 and 6 is 3
Hence LCM = 6 × HCF