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Q.

Find the LCM of 84 and 144 by prime factorization method.


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a

    1234

b

    2000

c

    1008

d

    1800 

answer is C.

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Detailed Solution

Given,
The numbers are 84 and 144.
Prime factorization of 84 and 144 is,
⇒84=2×2×3×7 ⇒84= 2 2 × 3 1 × 7 1 ⇒144=2×2×2×2×3×3 ⇒144= 2 4 × 3 2  
⇒LCM(84,144)= 2 4 × 3 2 × 7 1 ⇒LCM(84,144)=16×9×7 ⇒LCM(84,144)=1008  
Thus, the LCM of 84 and 144 is 1008.
Therefore, option (3)     is correct answer.
 
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