Question
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?
Answers
Reiny
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
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