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Q.

The LCM of the numbers 36, 60, 72 is ____.


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Detailed Solution

The LCM of the numbers 36, 60, 72 is 360.
Consider the numbers 36, 60, and 72.
Finding the prime factorization of the numbers 36, 60, and 72:
2   36,60,72 2   18,30,36 2   9,15,18 3   9,15,9 3   3,5,3 5   1,5,1     1,1,1 LCM = 2×2×3×3×5×2=360
Therefore, the LCM of 36, 60, and 72 is 360.
 
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