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LCM of given polynomials by factorising

This type of question, asked 4 times: CDS 1 2017, CDS 1 2019, CDS 2 2023, CDS 2 2025. All 4 questions below, oldest first.

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  1. Question 1

    CDS 1 2017

    41
    What is the LCM of x3+8x^3 + 8, x2+5x+6x^2 + 5x + 6 and x3+4x2+4xx^3 + 4x^2 + 4x ?

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  2. Question 2

    CDS 1 2019

    97
    What is the LCM of the polynomials x3+3x2+3x+1x^3 + 3x^2 + 3x + 1, x3+5x2+5x+4x^3 + 5x^2 + 5x + 4 and x2+5x+4x^2 + 5x + 4 ?

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  3. Question 3

    CDS 2 2023

    68
    What is the LCM of x4+x2y2+y4x^4 + x^2 y^2 + y^4, x3+y3x^3 + y^3, x3−y3x^3 - y^3 ?

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  4. Question 4

    CDS 2 2025

    18
    What is the LCM of x4+x2y2+y4x^4+x^2y^2+y^4, x3y+y4x^3y+y^4 and x4y2−x3y3x^4y^2-x^3y^3?

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