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The HCF of two numbers is 9. Which one of the following can never of their LCM?1). 272). 453). 544). 60 |
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Answer» 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 & 9y where x & y are co-prime. The LCM of these two numbers = PRODUCT of these two numbers [Because co-prime numbers don’t have any common factors other than 1] So, LCM of 9x & 9y = 9xy [Only one 9 in the LCM because it’s a common factor of both the numbers] ∴We can conclude that the LCM must be an integral multiple of 9 as x & y are integers. From the options GIVEN only 60 is the NUMBER which is not an integral multiple of 9. So it can never be the LCM. |
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