SOLUTION: Find all groups of 3 numbers whose HCF is 10 and LCM is 1000. Show your work. I tried doing it the way we would for pairs of numbers...This is what I did: 10 factors = 2*5 1

Algebra ->  Real-numbers -> SOLUTION: Find all groups of 3 numbers whose HCF is 10 and LCM is 1000. Show your work. I tried doing it the way we would for pairs of numbers...This is what I did: 10 factors = 2*5 1      Log On


   

Question 1011925: Find all groups of 3 numbers whose HCF is 10 and LCM is 1000. Show your work.
I tried doing it the way we would for pairs of numbers...This is what I did:
10 factors = 2*5
1000 factors= 23*53
Since a, b, c are factors of 1000, we can say that:
a= 2m*3n
b=2p*3q
c=2s*3t
I'm not sure if this is right... Kindly advise on the problem. Thanks!
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
Factors of 1,000: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000
I'm not sure what it is you're looking for, I hope you figure it out.
J