The LCM of x and 8 is24 if their GCF is 2. find the value of x. Show me the formula pliz

Question

Mathematics

Dean Hall

19 February, 15:06

The LCM of x and 8 is24 if their GCF is 2. find the value of x. Show me the formula pliz

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Answers (1)

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Jade Ellison · Answer 1

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