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Q.

The LCM of the numbers 144, 180, and 384 is ____.


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Detailed Solution

The LCM of the numbers 144, 180, and 384 is 5760.
The given numbers are 144, 180, and 384.
Finding the prime factorization of 144, 180, and 384:
144=2×2×2×2×3×3 180=2×2×3×3×5 384=2×2×2×2×2×2×2×3 Therefore, LCM = 2 7 × 3 2 ×5=5760 .
Therefore the LCM of 144, 180, and 384 is 5760.
 
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