Question

find the LCM and HCF of 120 and 144

Answer 1

Step-by-step explanation:

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Answer 2

$\bf{\red{\underline{\underline{\bf{Given\::}}}}}$

The L.C.M. and H.C.F. of 120 and 144.

$\bf{\purple{\underline{\underline{\bf{Explanation\::}}}}}$

$\bf{\large{\underline{\sf{L.C.M.(Lowest\:Common\:Multiple\:)\:of\:120\:and\:144}}}}}}$

$\begin{array}{l|r}2 & 120,144\\ \cline{2-2} 2 & 60,72\\ \cline{2-2} 2 & 30,36\\ \cline{2-2} 2& 15,18\\ \cline{2-2} 3 & 15, 9\\ \cline{2-2}3& 5,3\\ \cline{2-2} 5& 5,1\\ \cline{2-2} & 1,1\end{array}}$

L.C.M = 2 × 2 × 2 × 2 × 3 × 3 × 5 = 720.

$\bf{\large{\underline{\sf{H.C.M.(Highest\:Common\:Factor\:)\:of\:120\:and\:144}}}}}}$

$\begin{array}{l|r}2 & 120\\ \cline{2-2} 2 & 60\\ \cline{2-2} 2 & 30\\ \cline{2-2} 3& 15\\ \cline{2-2} 5 & 5\\ \cline{2-2}& 1\end{array}}$

&

$\begin{array}{l|r}2 & 144\\ \cline{2-2} 2 & 72\\ \cline{2-2} 2 & 36\\ \cline{2-2} 2& 18\\ \cline{2-2} 3 & 9\\ \cline{2-2}3& 3\\ \cline{2-2} & 1\end{array}}$

H.C.F of 120 = 2 × 2 × 2 × 3 × 5

H.C.F of 144 = 2 × 2 × 2 × 2 × 3 × 3

Common factor of 120 & 144 = 2 × 2 × 2 × 3 = 24.