If the least common multiple of two numbers, 1728 and K is 5184,
| If the least common multiple of two numbers, 1728 and K is 5184, then how many values of K are possible?
A. 11
B. 8
C. 6
D. 7
Please scroll down to see the correct answer and solution guide.
Right Answer is: D
SOLUTION
The uncommon factor of K and 1728 = 5184/1728 = 3
Let K = 2a x 3b
Now, because we take maximum powers of the prime factors in the L.C.M
Hence K is a multiple of 
and power to 2 is less than 6.
K = 
Total possible values of m are 
Hence number of possible values of K are 7.
