Question

What is the value of $x$?
If the LCM of $15$ and $x$ is $60$.

• A. $12$
• B. $30$
• C. $60$
• D. None of these

Answer 1

Answer: (A), (C)

The correct options are
A $12$
C $60$

$15=3\times 5$

Given that, LCM $=60=2^2\times 3\times 5$

$\Rightarrow x$ must have atleast a factor of $2^2$ and possible values of $x$ are $2^2\times 3$ or $2^2\times 5$ or $2^2\times 3\times 5$

$\therefore x=12,20$ or $60$