If LCM of the two polynomials \( \left(x^{2}+3 x\right) \) \( \left(x^{2}+3 x+2\right) \) and \(...

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If LCM of the two polynomials \( \left(x^{2}+3 x\right) \) \( \left(x^{2}+3 x+2\right) \) and \( \left(x^{2}+6 x+8\right)\left(x^{2}+k x+6\right) \) is \( x(x+1)(x+2)^{2}(x+3)(x+4) \), then find \( k \)
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