Question
Download Solution PDFThe HCF of two numbers is 12. Which one of the following can never be their LCM?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The HCF of two numbers is 12.
Concept used:
1. If P is the HCF of A and B then, A = P × m and B = P × n.
2. LCM is the smallest common multiple of two or more numbers.
Calculation:
Let the ratio of two numbers be A : B and their HCF be H and LCM be L.
Then, the numbers are AH and BH respectively.
LCM (AH, BH) i.e. L = H × A × B
Hence, L is a multiple of H.
Accordingly, if the HCF of two numbers is 12, then their LCM has to be multiple of 12.
Hence, 90 can't be their LCM.
∴ 90 can never be their LCM.
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