Question

Find L.C.M. : 27. 36. 54​

Answer 1

Given : 3 numbers

27 , 36 and 54

To find : LCM

Step-by-step explanation:

27 = 3 × 3 × 3

36 = 2 × 2 × 3 × 3

54 = 2 × 3 × 3 × 3

LCM = 2 × 2 × 3 × 3 × 3

= 108

108 is the required LCM

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Answer 2

Given:

27, 36, 54

To find:

Least Common Multiple(LCM)

Solution:

• LCM is abbreviated as Least Common Multiple. It is the method that helps to find out the smallest multiple of two or more numbers.

• It (LCM) is the number that divisible by both the given numbers. for example - lcm of 8 and 6 is 24. The number 24 is divisible by both the numbers 8 and 6.

LCM of 27, 36, 54:

$\begin{array}{r | l} 2 & 27, 36, 54 \\ \cline{2-2} 2 & 27, 18, 27 \\ \cline{2-2} 3 & 27, 9, 27 \\ \cline{2-2} 3 & 9, 3, 9 \\ \cline{2-2} 3 & 3, 1, 3 \\ \cline{2-2} & 1, 1, 1\end{array}$

LCM of 27, 36, 54:

$=> 2 \times 2 \times 3 \times 3 \times 3$

=> 108

Hence, the LCM of 27, 36, 54 is 108