Question

Find LCM of $7,8,11$ and $12$.

Answer 1

Express the given numbers as the product of their prime factors to find the LCM :

Given numbers, $7,8,11$ and $12$

$\begin{array}{rcl}7& =& 7\times 1=7^1\\ 8& =& 2\times 2\times 2=2^3\\ 11& =& 11\times 1={11}^1\\ 12& =& 2\times 2\times 3=2^2\times 3^1\end{array}$

LCM can be calculated by multiplying the prime factors raised to their highest power

$\therefore$ $LCM=2^3\times 3^1\times 7^1\times {11}^1$

$=8\times 3\times 7\times 11$

$\therefore$ $LCM=1848$

Hence the LCM of $7,8,11$ and $12$ is $1848$