ArithmeticFind the least number which when divided by 18, 24, 30 leaves remainder 2 in each case.

Find the least number which when divided by 18, 24, 30 leaves remainder 2 in each case.

$\begin{array}{l} L.C.M. \Rightarrow 6 18, 24, 30 \\ 3, 4, 5 \end{array}$

L.C.M. $\Rightarrow 360$

Number $\Rightarrow$ 360+2 $\Rightarrow$ 362