LCM and Monomials

Front

What is the definition of LCM (Least Common Multiple)?

Back

The LCM of two or more numbers is the smallest multiple that is exactly divisible by each of the numbers.

Front

What is the definition of GCF (Greatest Common Factor)?

Back

The GCF of two or more numbers is the largest factor that divides each of the numbers without leaving a remainder.

Front

How do you find the LCM of two monomials?

Back

To find the LCM of two monomials, take the highest power of each variable and the LCM of the coefficients.

Front

How do you find the GCF of two monomials?

Back

To find the GCF of two monomials, take the lowest power of each variable and the GCF of the coefficients.

Front

What is the LCM of 7xyz and 5x^2y^3?

Back

35x^2y^3z.

Front

What is the GCF of 10x^2y^6 and 15xy^3?

Back

5xy^3.

Front

What is the LCM of 5x^2 and 12x?

Back

60x^2.

Front

What is the GCF of 5x and 7z?

Back

1.

Front

What is the LCM of 10x and 5x^2?

Back

10x^2.

Front

What is the relationship between LCM and GCF?

Back

The product of the LCM and GCF of two numbers is equal to the product of the numbers.