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The LCM of two numbers is 1200, show that the HCF of these numbers cannot be 500. Why ?

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The LCM of two numbers is 1200, show that the HCF of these numbers cannot be 500. Why ?

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If the LCM of two numbers is 1200 then, it is not possible to have their HCF equals to 500. 

Since, HCF must be a factor of LCM, but 500 is not a factor of 1200.

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