Question

Find the LCM and HCF of the following integers by applying the prime factorisation method : 2800,1680,1200

Answer 1

$$\begin{gathered} \mathrm{The}\mathrm{prime}\mathrm{factorisation}\mathrm{of}2800,1680\mathrm{and}1200\mathrm{is}: \\ 2800=2\times 2\times 2\times 2\times 5\times 5\times 7 \\ 1680=2\times 2\times 2\times 2\times 3\times 5\times 7 \\ 1200=2\times 2\times 2\times 2\times 3\times 5\times 5 \\ \mathrm{HCF}=2\times 2\times 2\times 2\times 5=80 \\ \mathrm{LCM}=2\times 2\times 2\times 2\times 3\times 5\times 5\times 7=8400 \end{gathered}$$