Finding the LCM of Monomials: Techniques and Examples

This video tutorial explains how to find the least common multiple (LCM) of monomials. It begins with an introduction to the concept and the steps involved, such as factoring monomials and identifying common factors. The video provides several examples, including finding the LCM of numbers like 12 and 8, and monomials like 42x^2 and 12x, 14xy^3 and 35x^2y^2, and 15x, 12y, and 10xy. The tutorial emphasizes the importance of checking the final answer to ensure it is a multiple of each monomial involved.

What is the first step in finding the least common multiple of monomials?

• Divide the monomials by their greatest common divisor

• Add all the monomials together

• Factor the monomials

• Multiply all the monomials together

Why is it important to recognize common factors when factoring monomials?

• To simplify the final multiplication

• To ensure the factors are prime

• To avoid mistakes

• To make the process faster

What should you do after circling the common factors in all the monomials?

• Add them together

• Write them down

• Ignore them

• Divide them by the greatest common divisor

In the example of finding the LCM of 12 and 8, what is the common factor recognized?

• 2

• 3

• 4

• 6

What is the least common multiple of 12 and 8 using the factoring method?

• 24

• 32

• 16

• 48

When factoring 42x^2 and 12x, what is the common factor for the numbers?

• 7

• 6

• 3

• 2

What is the least common multiple of 42x^2 and 12x?

• 84x

• 42x

• 126x^2

• 84x^2

In the example of 14xy^3 and 35x^2y^2, what is the common factor for the numbers?

• 14

• 5

• 2

• 7

What is the least common multiple of 14xy^3 and 35x^2y^2?

• 14x^2y^3

• 70x^2y^3

• 35x^2y^3

• 70xy^3

In the complex example involving 15x, 12y, and 10xy, what is the least common multiple?

• 60xy

• 90xy

• 120xy

• 30xy