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Question Number 94955 by Rasheed.Sindhi last updated on 22/May/20

$$Provebysettheoryorotherwise$$$$\mathrm{lcm}(\gcd (\mathrm{x},\mathrm{y}),\gcd (\mathrm{y},\mathrm{z}),\gcd (\mathrm{z},\mathrm{x}))$$$$\mathrm{is}\mathrm{equal}\mathrm{to}$$$$\gcd (\mathrm{lcm}(\mathrm{x},\mathrm{y}),\mathrm{lcm}(\mathrm{y},\mathrm{z}),\mathrm{lcm}(\mathrm{z},\mathrm{x}))$$$$Orgiveacounterexample.$$

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