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Q.

What is the L.C.M. of 180, 384, and 144?


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a

5750

b

5770

c

5765

d

5760 

answer is D.

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Detailed Solution

Given data,
180, 384, and 144.
Let’s calculate the prime factors of the given numbers.
The prime factorization of 180, 384, and 144,
180=3×3×2×2×5
384=3×2×2×2×2×2×2×2
144=3×3×2×2×2×2
Calculating the LCM of 180, 384 and 144,
LCM =2×2×2×2×2×2×2×3×3×5   LCM = 5760
Therefore, the LCM of 180, 384, 144 is 5760.
Hence, option 4 is correct.
 
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