So I had to find four least common multiples done out below:
a) LCM(8,12) = 24
b) LCM(20, 30) = 60
c) LCM(51, 68) = 204
d) LCM(23, 18) = 414
For each of the LCMs computed above, I have to compare the value of LCM(a, b) to the values of a, b, and gcd(a,b) and find a relationship between the two.
So I've basically calculated the gcds and retrieved the following:
a) gcd(8,12) = 4
b) gcd(20,30) = 10
c) gcd(51,68) = 17
d) gcd(23, 18) = 1
The only relationship I've found is that the difference between a and b is the gcd for them in cases a through c. I was wondering, is there another pattern I should be aware of here?
2007-09-08
16:17:43
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4 answers
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asked by
Fonzieo
1