Understanding Least Common Denominator (LCD)

What is the main goal when finding the least common denominator (LCD) for fractions?

• To find the product of all denominators.

• To find the sum of all denominators.

• To find the smallest number that all denominators divide into evenly.

• To find the largest number that divides all denominators.

In Method 1, what is the first step in finding the LCD using a table of prime factors?

• Find the greatest common factor of the denominators.

• Decompose each denominator into its prime factors.

• Multiply all the denominators together.

• Add all the denominators together.

When organizing prime factors in a table, what rule must be followed?

• Place the largest factor in the first column.

• Place the smallest factor in the last column.

• Place identical factors in the same column.

• Place all factors in a single column.

What is the purpose of making all denominators identical in Method 2?

• To simplify the fractions.

• To ensure all fractions have the same numerator.

• To find the greatest common factor.

• To find the least common denominator.

In Method 2, what must be done if a denominator lacks a certain prime factor?

• Subtract the missing factor from the denominator.

• Multiply both the numerator and denominator by the missing factor.

• Add the missing factor to the numerator only.

• Ignore the missing factor.

What is the final step in both methods to find the LCD?

• Add all the prime factors together.

• Subtract the smallest prime factor from the largest.

• Multiply all the prime factors together.

• Divide the largest prime factor by the smallest.

Which method is more visual and can be applied to advanced problems?

• Method 1: Table of Prime Factors

• Method 2: Completing Common Denominators

• Neither method is visual.

• Both methods are equally visual.

What is the least common denominator (LCD) for the fractions 4/15, 1/12, and 3/8?

• 120

• 90

• 150

• 60

What should you do if you have questions or need further assistance with the ACT?

• Contact the teacher directly.

• Leave a comment in the video section.

• Search for answers online.

• Ask a friend for help.

Where can you find additional resources to help you pass the ACT?

• In the school's library.

• In the video comments.

• In the video description.

• On the teacher's personal blog.