Question Number 192508 by Spillover last updated on 19/May/23
Commented by Frix last updated on 19/May/23
$$\mathrm{They}\:\mathrm{solved}\:\mathrm{a}\:\mathrm{similar}\:\mathrm{question}\:\mathrm{for}\:\mathrm{you}. \\ $$$$\mathrm{Are}\:\mathrm{you}\:\mathrm{too}\:\mathrm{stupid}\:\mathrm{or}\:\mathrm{simply}\:\mathrm{too}\:\mathrm{lazy}? \\ $$
Answered by Spillover last updated on 19/May/23
$${LCM}=\mathrm{432}=\mathrm{2}^{\mathrm{4}} ×\mathrm{3}^{\mathrm{3}} \\ $$$${GCF}=\mathrm{12}=\mathrm{2}^{\mathrm{2}} ×\mathrm{3} \\ $$$$\mathrm{1}^{{st}} \:{no}=\mathrm{36}=\mathrm{2}^{\mathrm{2}} ×\mathrm{3}^{\mathrm{2}} \\ $$$$\mathrm{2}^{{nd}} \:{no}=\mathrm{48}=\mathrm{2}^{\mathrm{4}} ×\mathrm{3} \\ $$$$\mathrm{3}^{{rd}} \:{no}\:{must}\:{have}\:\mathrm{2}^{\mathrm{2}} ×\mathrm{3} \\ $$$$\underline{{Possible}\:{value}\:{of}\:{third}\:{number}\:{are}} \\ $$$$\mathrm{108}=\mathrm{2}^{\mathrm{2}} ×\mathrm{3}^{\mathrm{3}} \: \\ $$$$\mathrm{216}=\mathrm{2}^{\mathrm{3}} ×\mathrm{3}^{\mathrm{3}} \\ $$$$\mathrm{432}=\mathrm{2}^{\mathrm{4}} ×\mathrm{3}^{\mathrm{3}} \\ $$
Commented by deleteduser1 last updated on 19/May/23
$$\mathrm{2}^{\mathrm{4}} ×\mathrm{3}^{\mathrm{3}} =\mathrm{432}\:{is}\:{also}\:{a}\:{possible}\:{value}\:{for}\:{the} \\ $$$${third}\:{number}. \\ $$
Commented by Spillover last updated on 19/May/23
$${thank}\:{you}\:{for}\:{remaind}\:{me} \\ $$