Question : The LCM of 144, 360, and 450 is:
Option 1: 4800
Option 2: 3600
Option 3: 7200
Option 4: 2400
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Correct Answer: 3600
Solution :
Prime factorization of 144 = 2
4
× 3
2
Prime factorization of 360 = 2
3
× 3
2
× 5
Prime factorization of 450 = 2 × 3
2
× 5
2
LCM = 2
4
× 3
2
× 5
2
= 3600
Hence, the correct answer is 3600.
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