Question

Find the HCF and LCM of 60,,84,108 using prime factorization method

Answer 1

$$\begin{gathered} \mathrm{The}\mathrm{prime}\mathrm{factorisation}\mathrm{of}60,84\mathrm{and}108\mathrm{is}: \\ 60=2\times 2\times 3\times 5 \\ 84=2\times 2\times 3\times 7 \\ 108=2\times 2\times 3\times 3\times 3 \\ \mathrm{HCF}=2\times 2\times 3=12 \\ \mathrm{LCM}=2\times 2\times 3\times 3\times 3\times 5\times 7=3780 \end{gathered}$$