state the first the fundamental theorem of arithmetic . is it possible that HCF and lcm of two numbers be 24 and 540respectively . justify your answer
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H.C.F and L.C.M of 2 numbers were 24 and 540 respectively because the H.C.F. is always a factor of L.C.M. So, it is not possible. If we divide 540 by 24 we will get 12 as a remainder i.e. 24 is not a factor of 540.
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