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Q.

What is the LCM of 24, 36 and 40?
 


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a

420

b

360

c

120

d

180 

answer is B.

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Detailed Solution

We have to find the LCM of 24, 36 and 40.
We find the LCM using prime factorization.
Prime factorization of 24,
2 24 2 12 2 6 3 3     1  
Prime factorization of 36,
2 36 2 18 3 9 3 3     1  
Prime factorization of 40,
2 40 2 20 2 10 5  5     1  
Then,
24= 2 3 ×3 36= 2 2 × 3 2 40= 2 3 ×5  
Taking the maximum powers of distinct factors, we get:
LCM = 2 3 × 3 2 ×5=360  
Thus, the LCM of 24, 36 and 40 is 360.
Therefore, the correct option is 2.

 
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