Math, asked by myashika102, 10 months ago

l.c.m of 24,18,12 ??

Answers

Answered by Sauron
18

\textbf{\underline{\underline{Answer :-}}}

\text{The LCM of 24,18 and 12 is 72 }

\textbf{\underline{\underline{Explanation :-}}}

Given :

The numbers = 24,18,12

To find :

The LCM of the given numbers

Solution :

LCM is the Least Common Multiple of given numbers.

LCM of 24,18,12 :

\begin{array}{r|l}2 & 24,18,12 \\\cline{1-2} 3 & 12,9,6 \\\cline{1-2} 2 & 4,3,2\\ \cline{1-2} 2 & 2,3,1 \\\cline{1-2} 3 & 1,3,1\\\cline{1-2} & 1,1,1 \end{array}

LCM of 24,18,12 :

\tt{\implies2 \times 3 \times 2 \times 2 \times 3}

\tt{\implies6 \times 4 \times 3}

\tt{\implies72}

{\boxed{\bigstar{\sf\:{LCM = 72}}}}

\therefore\text{The LCM of 24,18 and 12 is 72 }


Swarup1998: perfect as always
Sauron: ❤️ Thankyou ❤️
Answered by ItzRadhe04
3

 \huge \bf \mathbb \ {Answer}

 \bf{lcm \:\: of \: \:24 \:\:  , \: \: 18 \:\   and\:\: 12}

\begin{array}{r | l}2 & 24 \: , \: 18 \:  , \: 12\\2&12  \: , \:  \: 9 \: \:  , \:  6 \\ 2& \: 6  \: ,  \: 9 \: \:  , \:  3 \\ 3& \:  3  \: , \: 9 \: , \: 3 \\  3& \: 1  \: , \: 3 \: , \: 1 \\ & \: 1  \: , \: 1 \: , \: 1\end{array}

\bf\qquad \leadsto{2×2×2×3×3}

\bf \qquad\leadsto{8×9}

\bf \qquad\leadsto{72}\underline{Ans}

  \huge \bf{Other \: Information}

\bf \leadsto{Lcm \: stands \: for \: least \: common \: multiple}

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