Step 1

Given ,

\(\displaystyle{X}={22}{a}^{{{5}}}{b}^{{{3}}}{c}^{{{2}}}\)

\(\displaystyle{Y}={2}{a}^{{{4}}}{b}^{{{4}}}{c}^{{{3}}}\)

\(\displaystyle{Z}={4}{a}^{{{2}}}{b}^{{{2}}}{c}^{{{5}}}\)

Step 2

\(\displaystyle{22}{a}^{{{5}}}{b}^{{{3}}}{c}^{{{2}}};{2}{a}^{{{4}}}{b}^{{{4}}}{c}^{{{3}}};{4}{a}^{{{2}}}{b}^{{{2}}}{c}^{{{5}}}\)

Let \(\displaystyle{x}={2}\times{11}\times{a}^{{{5}}}\times{b}^{{{3}}}\times{c}^{{{2}}}\)

\(\displaystyle{y}={2}\times{a}^{{{4}}}\times{b}^{{{4}}}\times{c}^{{{3}}}\)

\(\displaystyle{z}={2}\times{2}\times{a}^{{{2}}}\times{b}^{{{2}}}\times{c}^{{{5}}}\)

\(\displaystyle{L}{C}{M}={2}\times{11}\times{2}\times{a}^{{{5}}}\times{b}^{{{4}}}\times{c}^{{{5}}}\)

\(\displaystyle{L}{C}{M}={44}{a}^{{{5}}}{b}^{{{4}}}{c}^{{{5}}}\)

\(\displaystyle{H}{C}{F}={2}\times{a}^{{{2}}}\times{b}^{{{2}}}\times{c}^{{{2}}}\)

\(\displaystyle{H}{C}{F}={2}{a}^{{{2}}}{b}^{{{2}}}{c}^{{{2}}}\)

Given ,

\(\displaystyle{X}={22}{a}^{{{5}}}{b}^{{{3}}}{c}^{{{2}}}\)

\(\displaystyle{Y}={2}{a}^{{{4}}}{b}^{{{4}}}{c}^{{{3}}}\)

\(\displaystyle{Z}={4}{a}^{{{2}}}{b}^{{{2}}}{c}^{{{5}}}\)

Step 2

\(\displaystyle{22}{a}^{{{5}}}{b}^{{{3}}}{c}^{{{2}}};{2}{a}^{{{4}}}{b}^{{{4}}}{c}^{{{3}}};{4}{a}^{{{2}}}{b}^{{{2}}}{c}^{{{5}}}\)

Let \(\displaystyle{x}={2}\times{11}\times{a}^{{{5}}}\times{b}^{{{3}}}\times{c}^{{{2}}}\)

\(\displaystyle{y}={2}\times{a}^{{{4}}}\times{b}^{{{4}}}\times{c}^{{{3}}}\)

\(\displaystyle{z}={2}\times{2}\times{a}^{{{2}}}\times{b}^{{{2}}}\times{c}^{{{5}}}\)

\(\displaystyle{L}{C}{M}={2}\times{11}\times{2}\times{a}^{{{5}}}\times{b}^{{{4}}}\times{c}^{{{5}}}\)

\(\displaystyle{L}{C}{M}={44}{a}^{{{5}}}{b}^{{{4}}}{c}^{{{5}}}\)

\(\displaystyle{H}{C}{F}={2}\times{a}^{{{2}}}\times{b}^{{{2}}}\times{c}^{{{2}}}\)

\(\displaystyle{H}{C}{F}={2}{a}^{{{2}}}{b}^{{{2}}}{c}^{{{2}}}\)