Question

What is the smallest number which on decreased by 3,is completely divisible by 18 , 36 , 32 & 27

Answer 1

$$\begin{gathered} \mathrm{Hi}, \\ \mathrm{The}\mathrm{required}\mathrm{number}\mathrm{will}\mathrm{be}\mathrm{the}\mathrm{LCM}\mathrm{of}18,36,32,27+3 \\ \mathrm{so} \\ 18=2\times 3\times 3 \\ 36=2\times 2\times 3\times 3 \\ 32=2\times 2\times 2\times 2\times 2 \\ 27=3\times 3\times 3 \\ \mathrm{So}\mathrm{LCM}\mathrm{of}\mathrm{these}\mathrm{numbers}=2\times 2\times 2\times 2\times 2\times 3\times 3\times 3 \\ =32\times 27 \\ =864 \\ \mathrm{So}\mathrm{required}\mathrm{number}=864+3=867 \end{gathered}$$