# Math

The LCM of two consecutive numbers is greater than 200 and is a multiple of 7. Name the numbers. How do you figure this out?

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1. The first multiple of 7 greater than 200 is 203

I know that √203 = appr 14.25

so if I take 14 x 15 to get 210

I get a multiple of 7 and a number > 200

I have given you the smallest such pair

of course there would be an infinite number of such pairs.
e.g.
21x22
28x29
are only 2 examples of consecutive numbers whose LCM is greater than 200 and that LCM is a multiple of 7

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posted by Reiny
2. This is gay

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