Ratio of two number is 5: 6 and their HCF is 6. LCM of these two numbers is:
Ratio of two number is 5: 6 and their HCF is 6. LCM of these two numbers is:
A150
B180
C90
D120
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correct answer is: 180
Explanation: The ratio of the two numbers is 5:6, so let the numbers be 5k and 6k.The HCF of these numbers is k. Given that the HCF is 6, we find k=6.
Thus, the numbers are 30 and 36.
Using the formula LCM(a,b)=(a×b)HCF(a,b),
the LCM is (30×36)6 = 180.
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