State fundamental theorem of arithmetic if it is possible that HCF and LCM of two number is 24 and 540 represently? Justify your answer
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State fundamental theorem of arithmetic if it is possible that HCF and LCM of two number is 24 and 540 represently? Justify your answer
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Answer:
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