Question

Find the lcm of 5m^7+ 35m^6+50m^5 And -20m^5-80m^4+100^3

Answer 1

Answer:

LCM of both polynomials=$\mathbf{5m^3}$

Step-by-step explanation:

Least Common Multiple

We are given the polynomials

$5m^7+ 35m^6+50m^5$

$-20m^5-80m^4+100m^3$

Find the common factors of each polynomial, first the coefficients:

5 = 5

35 = 5*7

50 = 5*5*2

The common factor with the least exponent; 5

Now for the variables:

$m^7, m^6, m^5$

The common factor with the least exponent; m^5

LCM of $5m^7+ 35m^6+50m^5: 5m^5$

Similarly:

20 = 2*2*5

80=2*2*2*2*5

100 = 2*2*5*5

Common factor of the coefficients: 2*2*5=20

Common factor of variables: $m^3$

LCM of $-20m^5-80m^4+100m^3 = 20m^3$

LCM of both polynomials=$\mathbf{5m^3}$