Find a possible value of $v$, if the least common multiple of $9,10,12$ and $v$ is $540$.

The correct option is E 27
LCM of 9,10,12

$9=3\times 3$

$10=2\times 5$

$12=2\times 2\times 3$

$LCM(9,10,12)=2\times 2\times 3\times 3\times 5=180$

180 is also multiply of 18,36,45.If v is 18,36 and 45 than LCM of all the number would be 180 but its 540 so the answer is Option C.