Respuesta :

x = 3   and 8 gives an LCM of 24   but  3 and 8  haven't got a GCF of 2.
To give and LCM of 2 x must be even so we can try x = 2*3 = 6.

The LCM of 6 and 8  :- 6*8 = 48  But  its not lowest multiple 
Dividing by 2 we get 48/2 = 24  which is the LCM of 6 and 8 - and their GCF is 2.

So the value of  x is 6

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