Question

find LCM and HCF by prime factorization :-1) 225 , 2402) 12576 , 40523) 6 , 72 , 1204) 60 , 32 , 45 , 805) LCM (396 , 576 )= 6336 , find HCF??

Answer 1

$$\begin{gathered} 1)225,240 \\ Primefactorsof225-3\times 3\times 5\times 5 \\ Primefactorsof240-2\times 2\times 2\times 2\times 3\times 5 \\ Writingdownthefactorsthataresameinbothlists \\ HenceHCFof225and240is3\times 5=15 \\ LCMof225and240is2\times 2\times 2\times 2\times 3\times 3\times 5\times 5=3600 \end{gathered}$$


$$\begin{gathered} 5)Numbersare396and576 \\ L.C.Mofthesenumbersis6336 \\ H.C.Fofthenumbers=\frac{productoftwonumbers}{L.C.Mofthenumbers}=\frac{396\times 576}{6336}=36 \end{gathered}$$