i have this one ? and it is bugging me !! show that a,b,c = to (ab,ac,bc)[a,b,c]. () = to the gcd and  = to the lcm. does that notation mean multiply the numbers together? i mean i started out saying this... (ab,ac,bc) = 1, so there exist a p prime s.t. p divides ab, p divides ac, and p divides bc. so if p divides ac, then p HAS to divide the other two, right? can anyone show me where i am going wrong and point me in the right direction? thank you all!!