How to find the lowest common multiple of polynomials?

To find the lowest common multiple (L.C.M.) of polynomials, we first find the factors of polynomials by the method of factorization and then adopt the same process of finding L.C.M.

Solved examples to find lowest common factor of polynomials:

Factorizing 4a

(2a)

= (2a + 5b) (2a - 5b)

Also, factorizing 6a

= 3a(2a + 5b)

Therefore, the L.C.M. of 4a

Factorizing x

x

Now by using the identity a

x

= x

Also, factorizing xy

x(y

= x(y

= x[y(y - 3) + 1(y - 3)]

= x(y - 3) (y + 1)

Therefore, the L.C.M. of x

Factorizing x

x(x + y)

Factorizing xz + yz by taking the common factor 'z', we get

z(x + y)

Factorizing x

= (x)

= (x + y)

= (x + y) (x + y)

Therefore, the L.C.M. of x

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