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Q.

Find LCM of 18,24 and 54 by prime factorization method.


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a

    122

b

    60

c

    216

d

    140 

answer is C.

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Detailed Solution

Given,
The numbers are 18,24 and 54.
The prime factorization of the numbers are,
⇒18=2×3×3  
⇒18=2× 3 2  
⇒24=2×2×2×3  
⇒24= 2 3 ×3  
⇒54=2×3×3×3  
⇒54=2× 3 3  
⇒L.C.M= 2 3 × 3 3 ⇒LCM=216  
Thus, the LCM is 216.
Therefore, option(3)     is correct answer.
 
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