Questions and Answers
What is the Least Common Multiple (LCM)?
The smallest multiple that two or more given numbers have in common
What is a Multiple?
A number resulting from multiplying a given number by an integer
What is the Least Common Denominator (LCD)?
The least common multiple of two or more denominators
The LCM includes only the common factors of two terms.
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The LCM of two numbers that have no common factors is their product.
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The LCD of two fractions is the same as the LCM of the numerators of the fractions.
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What is the LCD of 1/4a and 5/6a?
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Study Notes
Least Common Multiple (LCM)
- LCM represents the smallest shared multiple of two or more numbers, crucial for simplifying fractions and solving problems involving ratios.
Multiple
- A multiple results from multiplying an integer by a given number; for example, multiples of 3 include 3, 6, 9, 12, etc.
Least Common Denominator (LCD)
- LCD is the least common multiple of the denominators in a set of fractions, significant for adding or subtracting fractions with different bases.
True or False Statements
- The LCM does not consist solely of common factors; it includes all multiples necessary to find the smallest common one.
- If two numbers share no common factors, their LCM is equivalent to their product, indicating full independence in terms of factors.
- The LCD of fractions is not the same as the LCM of their numerators; it is specifically based on the denominators to ensure proper addition or subtraction.
Example Problem
- For the fractions 1/4a and 5/6a, the LCD is determined to be 12a, illustrating the application of LCM in the context of algebraic fractions.
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Description
Test your knowledge of Least Common Multiple (LCM) and Least Common Denominator (LCD) with these flashcards designed for pre-algebra concepts. Each card presents key definitions and a true or false question to reinforce your understanding. Perfect for students looking to strengthen their math skills.
