Understanding Least Common Denominator (LCD)

Understanding Least Common Denominator (LCD)

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Nancy Jackson

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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.

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