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Q.

Find the LCM of 6,72 and 120 by prime factorization method.


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a

    120

b

    60

c

    150

d

    360 

answer is D.

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Detailed Solution

Given,
The numbers are 6,72 and 120.
Prime factorization of 6,72 and 120 is,
⇒6=2×3 ⇒6= 2 1 × 3 1 ⇒72=2×2×2×3×3 ⇒72= 2 3 × 3 2 ⇒120=2×2×2×3×5  
Here, 2 3 , 3 2 , 5 1   are the greatest powers of the common prime factors 2, 3 and 5 in the given numbers.
⇒LCM(6,72,120)= 2 3 × 3 2 × 5 1 ⇒LCM(6,72,120)=8×9×5 ⇒LCM(6,72,120)=360  
Thus, the LCM of 6,72 and 120 is 360.
Therefore, option (4)     is correct answer.
 
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