Exploring LCM of Monomials

What is the main difference between finding the LCM and the GCF?

• GCF is always larger than the original values.

• LCM is always larger than the original values.

• LCM is always smaller than the original values.

• GCF and LCM are always equal.

What is the first step in finding the LCM of two monomials using the double division method?

• Divide the variables.

• Find the common factors of the coefficients.

• Multiply the coefficients.

• Compare the powers of the variables.

In the double division method, what do you do after finding the common factors of the coefficients?

• Multiply the coefficients by their common factors.

• Divide the coefficients by their common factors.

• Add the coefficients.

• Subtract the coefficients.

When comparing powers to find the LCM, which power do you choose?

• The highest power of each variable.

• The sum of the powers of each variable.

• The lowest power of each variable.

• The average power of each variable.

Why do we look for the highest power when finding the LCM by comparing powers?

• Because it simplifies the calculation.

• Because multiples tend to be larger than the original values.

• Because it is a rule of thumb.

• Because multiples tend to be smaller than the original values.

In the example problem, what is the LCM of the coefficients 8 and 20?

• 60

• 16

• 20

• 40

What is the LCM of the variables a^2 and a?

• a

• a^2

• a^3

• a^4

In the final example, what is the LCM of the coefficients 6 and 7?

• 13

• 42

• 21

• 35

What is the LCM of the variables x and x^2?

• x^2

• x

• x^4

• x^3

What is the LCM of the variables y and y?

• y^2

• y^3

• y

• y^4