Question

Find HCF and LCM of 288, 360 and 384 by prime factorization method

Answer 1

Dear Student,

$$\begin{gathered} 288=2\times 2\times 2\times 2\times 2\times 3\times 3=2^5{3}^2 \\ 360=2\times 2\times 2\times 3\times 3\times 5=2^3{3}^{2}5 \\ 384=2\times 2\times 2\times 2\times 2\times 2\times 2\times 3=2^{7}3 \\ HCF=2\times 2\times 2\times 3=24 \\ LCM=2^7\times 3^2\times 5=5,760 \end{gathered}$$

Regards