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The HCF of two numbers is 9. Which one can’t be their LCM?
  • a)
    24
  • b)
    36
  • c)
    54
  • d)
    48
Correct answer is option 'D'. Can you explain this answer?
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The HCF of two numbers is 9. Which one can’t be their LCM?a)24b)...
H.C.F of two numbers is the highest factor present in both the numbers.
So we can say, if the HCF of two numbers is 9 then the two numbers can be 9x and 9y where x and y are co-prime.
The LCM of these two numbers = product of these two numbers.
So, LCM of 9x and 9y = 9xy (Only one 9 in the LCM because it is a common factor of both the numbers).
Hence, we can conclude that the LCM must be an integral multiple of 9 as x and y are integers.                   
From the options given only 48 is the number which is not an integral multiple of 9. So it can never be the LCM.
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The HCF of two numbers is 9. Which one can’t be their LCM?a)24b)...
48 is not the LCM
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The HCF of two numbers is 9. Which one can’t be their LCM?a)24b)36c)54d)48Correct answer is option 'D'. Can you explain this answer?
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