Question

LCM of $12,24,36$.

• A. $24$
• B. $36$
• C. $72$
• D. $108$

Answer 1

The correct option is C

$72$

Finding LCM by the prime factorization method

$\begin{array}{rcl}12& =& 2\times 2\times 3=2^2\times 3\\ 24& =& 2\times 2\times 3\times 2=2^3\times 3\\ 36& =& 2\times 2\times 3\times 3=2^2\times 3^2\end{array}$

LCM of $12,24,36$ can be calculated by multiplying the highest power of the prime numbers.

$\Rightarrow$LCM of $12,24,36$.$=$ $2^3\times 3^2=72$

Hence, the correct option is C.