A common multiple is a number that is a multiple of two or more other numbers.
A common multiple is a number that results from the multiplication of two whole numbers larger than 1.
To find the common multiple of two numbers, first write the multiples of both the numbers and then choose all the common multiples.
The smallest common multiple of two numbers is called least common multiple or lowest common multiple (LCM).
Multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48,...
Multiples of 8 are 8, 16, 24, 32, 40, 48,...
So, the common multiples of 6 and 8 are 24, 48.
A. 10, 25, 30, 45
B. 15, 25, 35, 45
C. 10, 20, 30, 40
D. 5, 10, 15, 20
Correct Answer: C
Step 1: The multiples of 5 are 5, 10, 15, 20, 25,...
Step 2: The multiples of 10 are 10, 20, 30, 40, 50,...
Step 3: We observe that all the multiples of 10 are also the multiples of 5.
Step 4: Therefore, 10, 20, 30, 40 are the common multiples of 5 and 10.
Q1: What is a common multiple of 6 and 8?
Q2: What are the common multiples of 5 and 10?
Q: What is the difference between a common multiple and a factor?
A: A multiple is a number you get when you multiply a number by an integer. A factor is a number that divides evenly into another number.
Q: How do you find the Least Common Multiple (LCM)?
A: List the multiples of each number until you find a common multiple. The smallest of these is the LCM. Or use prime factorization.