Question : If the HCF of xy3, x2 y, and x3 y4 is xy, then their LCM is________.
Option 1: x3 y4
Option 2: x3 y3
Option 3: x4 y3
Option 4: x4 y4
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Correct Answer: x 3 y 4
Solution :
In xy
3
, x
2
y, and x
3
y
4
The highest power of x = 3
The highest power of y = 4
⇒ LCM = x
3
y
4
Hence, the correct answer is x
3
y
4
.
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