Respuesta :

The least common multiple between those following numbers is C. 90.
Lets do it by finding the L.C.M
 
         
 (2, 5, 6, 9)
divide the terms by two and leave those which are not divisible

2  (1,5,6,9)

divide the terms by 3 and leave those which are not divisible

2 x 3  (1,5,2,3)

divide the terms by 3 again and leave those which are not divisible

2 x 3 x 3  (1,5,2,1)

divide the terms by two and leave those which are not divisible


2 x 3 x 3 x 2 (1,5,1,1)

divide the terms by five and leave those which are not divisible

2 x 3 x 3 x 2 x 5 (1,1,1,1)
So the L.C.M is :

2 x 3 x 3 x 2 x 5=180
so correct option is D 
hope it helps