Question

find the lcm of 24,36,60 .with solution​

Answer 1

Answer:

360

Step-by-step explanation:

Pls refer to the attachment for the detailed solution.

Answer 2

Answer :

LCM (24, 36, 60) = 360

Solution :-

First prime factorise each number one by one

Prime factorisation of 24

$\begin{array}{r | l} 2 & 24 \\ \cline{1-2} 2 & 12 \\ \cline{1-2} 2 & 6 \\ \cline{1-2} 3 & 3 \\ \cline{1-2} & 1 \end{array}$

Prime factorisation of 36

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

Prime factisation of 60

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

24 = 2³ * 3

36 = 2² * 3²

60 = 2² * 3 * 5

We know that

Least Common Multiple = Product of the greatest power of each prime factor of the numbers

LCM (24, 36, 60) = 2³ * 3² * 5 = 8 * 9 * 5 = 360