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Which two consecutive even numbers have an LCM of 180?

1 Answer

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Best answer

LCM of two consecutive even numbers 

= 180 

But, HCF of two consecutive even numbers = 2 

Now, product of the given number = HCF x LCM 

= 2 x 180 

= 360 

To find the two consecutive even numbers, we have to factorize 360.

360 = 2 x 2 x 2 x 3 x 3 x 5 

360 = (2 x 3 x 3) x (2 x 2 x 5) 

= 18 x 20 

∴ The two consecutive even numbers whose LCM is 180 are 18 and 20.

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