GCF and LCM Quiz: Practice with Free Online Questions

Study Notes

The least common multiple (LCM) is the smallest number that can be evenly divided by multiple numbers without leaving a remainder.
To find the LCM of two numbers, one can compile a list of their multiples until a common multiple is found, or find the greatest common factor (GCF) and multiply the numbers together, then divide by the GCF.
Factors of each number are identified to find the GCF. The largest factor shared by both numbers is the GCF.
Another method to find the LCM is through prime factorization. Prime factors are identified for each number, then the factors with the highest exponents are multiplied together to find the LCM.
The LCM can be found by keeping the prime factors with the highest exponents, regardless of which number they come from, and then multiplying them together.
The process for finding the LCM can be demonstrated through examples involving the listing method, GCF division method, and prime factorization method.
The listing method involves creating a list of multiples for each number until a common multiple is found, while the GCF division method uses the formula of multiplying the numbers together and then dividing by the GCF to find the LCM.
The prime factorization method requires the breakdown of factors to only prime numbers, comparing the prime factors, and then multiplying the prime factors with the highest exponents to find the LCM.
Examples of the LCM include finding the LCM of 4 and 6 using the listing method, 4 and 6 using the GCF division method, and 4, 9, and 3 using the prime factorization method.

Description

Test your knowledge of the concept of least common multiple (LCM) and its applications in adding and subtracting fractions and finding equal quantities. Understand the definition of LCM as the smallest positive multiple shared by two or more numbers.