Integer and Fraction Review

Front

What is the definition of a multiple?

Back

A multiple of a number is the product of that number and an integer. For example, the multiples of 3 are 3, 6, 9, 12, ...

Front

How do you find the lowest common multiple (LCM) of two numbers?

Back

To find the LCM of two numbers, list the multiples of each number and identify the smallest multiple that appears in both lists.

Front

What is the lowest common multiple of 8 and 12?

Back

The LCM of 8 and 12 is 24.

Front

What is the lowest common multiple of 5 and 10?

Back

The LCM of 5 and 10 is 10.

Front

What is the relationship between multiples and factors?

Back

A factor of a number is a number that divides it evenly, while a multiple is a number that can be divided by it evenly.

Front

What are the first five multiples of 9?

Back

The first five multiples of 9 are 9, 18, 27, 36, 45.

Front

How can you determine the LCM of three numbers?

Back

To find the LCM of three numbers, find the LCM of the first two numbers, then find the LCM of that result with the third number.

Front

What is the LCM of 3, 4, and 5?

Back

The LCM of 3, 4, and 5 is 60.

Front

What is a prime number and how does it relate to multiples?

Back

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. The multiples of a prime number are generated by multiplying it by integers.

Front

What is the significance of the LCM in real-world applications?

Back

The LCM is used in problems involving synchronization of cycles, such as scheduling events that repeat at different intervals.