Finding LCM and GCF of Monomials

The video tutorial covers the concepts of common factors and least common multiples, explaining how to find them for both numbers and monomials. It begins with an introduction to these mathematical concepts, followed by detailed steps and examples for finding common factors and least common multiples. The tutorial also addresses how to handle monomials, providing methods to determine the greatest common factor and least common multiple for expressions involving variables and coefficients.

What are common factors?

• Numbers that are larger than the given number

• Numbers that divide the given number without a remainder

• Numbers that are equal to the given number

• Numbers that are multiples of the given number

Which of the following is a factor of 20?

• 7

• 5

• 9

• 3

What is the greatest common factor (GCF) of 8 and 20?

• 8

• 10

• 4

• 2

What are multiples?

• Numbers that are equal to the given number

• Numbers that are smaller than the given number

• Numbers that divide the given number without a remainder

• Numbers obtained by multiplying the given number by integers

What is the least common multiple (LCM) of 4 and 25?

• 100

• 75

• 125

• 50

How do you find the GCF of monomials?

• Multiply the terms together

• List the prime factors and choose the smallest power of each

• List the multiples of each term

• List the prime factors and choose the highest power of each

What is the GCF of 2x^2 and 4x^2?

• 4x

• 2x^2

• 2x

• 4x^2

What is the LCM of 14x^2y and 7x^3?

• 7x^2

• 14x^3y

• 7x^3y

• 14x^2

What is the prime factorization of 20x^2y^4?

• 2^2 * 5 * x^2 * y^4

• 2 * 5^2 * x^2 * y^4

• 2^2 * 5 * x * y^4

• 2^2 * 5 * x^2 * y^2

What is the LCM of 20x^2y^4 and 3x^3y?

• 60x^3y

• 60x^2y^4

• 60x^3y^4

• 20x^3y^4