1)the number of ordered triplets (a,b,c) such that LCM of (a,b) = 1000 , LCM (b,c) = 2000 LCM (c,a) = 2000 is?

 

(answer = 70)

2)the number of solutions of the equation

 

 

x⁶-x⁵+x⁴-x³+x²-x+3/4 = 0 is?