The LCM of 2 what is the LCM of 2 x 2 x 3 and 2 x 2 x 2 x 2 x 3 x 5 is
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2
Answer:
Correct option is
C
x(x−2)(x−3)(x
2
−1)
x
2
−3x+2andx
3
−2x
2
−3x
x
2
−3x+2=x
2
−x−2x+2⇒x(x−1)−2(x−1)⇒(x−1)(x−2)
x
3
−2x
2
−3x=x(x
2
−2x−3)⇒x(x
2
+x−3x−3)⇒x(x(x+1)−3(x+1))⇒x(x+1)(x−3)
∴RequiredL.C.M=(x−1)(x−2)x(x+1)(x−3)
⇒x(x−2)(x−3)(x
2
−1)
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