Understanding Least Common Multiple of Fractions

This lesson explains how to determine the least common multiple (LCM) of fractions. The LCM of fractions is found by using the greatest common factor (GCF) of the denominators and the LCM of the numerators. The video provides examples to illustrate the process, including finding the LCM of fractions like 5/6 and 2/3, 5/18 and 11/12, and 8/9 and 4/7. Each example demonstrates how to calculate the GCF and LCM to find the smallest fraction that can be divided evenly by the given fractions.

What is the least common multiple of a set of fractions?

• The fraction where both the numerator and denominator are the LCM of the original fractions.

• The fraction with the smallest numerator and denominator.

• The fraction where the denominator is the GCF of the denominators and the numerator is the LCM of the numerators.

• The fraction with the largest numerator and smallest denominator.

In the example of finding the LCM of 5/6 and 2/3, what is the greatest common factor of the denominators?

• 2

• 3

• 6

• 1

What is the least common multiple of the numerators 5 and 2 in the example of 5/6 and 2/3?

• 10

• 1

• 5

• 2

For the fractions 5/18 and 11/12, what is the greatest common factor of the denominators?

• 12

• 6

• 3

• 18

What is the least common multiple of the numerators 5 and 11 in the example of 5/18 and 11/12?

• 11

• 55

• 5

• 1

In the example of 8/9 and 4/7, what is the greatest common factor of the denominators?

• 9

• 3

• 7

• 1

What is the least common multiple of the numerators 8 and 4 in the example of 8/9 and 4/7?

• 16

• 8

• 4

• 12

Which of the following statements is true about the LCM of fractions?

• The LCM of fractions is always a whole number.

• The LCM of fractions is the sum of the fractions.

• The LCM of fractions is the largest fraction that can divide both fractions.

• The LCM of fractions is the smallest fraction that can be divided by both fractions.

What is the significance of the LCM in the context of fractions?

• It is used to find the average of the fractions.

• It is used to simplify fractions to their lowest terms.

• It is the smallest fraction that can be divided by the given fractions.

• It helps in finding the largest common fraction.

What is the LCM of 8/9 and 4/7?

• 8

• 4

• 9

• 7