Finding the Least Common Multiple in Algebra

The video tutorial covers the concept of the least common multiple (LCM) using algebraic expressions. It begins with a basic introduction to LCM, followed by detailed examples to differentiate between LCM and greatest common factor (GCF). The tutorial then delves into complex factorization techniques and concludes with a practical application problem involving backpacks with different patterns. The video aims to enhance understanding of LCM through step-by-step explanations and real-world applications.

What is the least common multiple (LCM) of the expressions 3x + 5 and 2x - 7?

• 3x + 5

• 2x - 7

• 3x + 5 * 2x - 7

• 3x + 5 + 2x - 7

When finding the greatest common factor (GCF), what do you look for in the terms?

• The sum of the coefficients

• The product of the coefficients

• The terms that appear in both expressions

• The highest power of each variable

In the expression 15c^2, what is the prime factorization?

• 3 * 5 * c * c

• 3 * 5 * c

• 15 * c * c

• 3 * 5 * 2 * c

What is the LCM of the expressions 3c^2 and 35c?

• 3c * 35c

• 3c^2 + 35c

• 21c * 5c - 1

• 105c^2 - 21c

How do you factor the expression 18f^3 - 54f^4?

• 18f^3 * (1 - 3f)

• 18f^2 * (1 + 3f)

• 18f^3 * (1 + 3f)

• 18f^2 * (1 - 3f)

What is the LCM of the expressions 8f^2 and 18f^3?

• 8f^2 * 18f^3

• 8f^3 * 18f^2

• 72f^2 * (1 - 3f)

• 72f^3 * (1 - 3f)

What is the prime factorization of 24?

• 2 * 12

• 2 * 2 * 2 * 3

• 2 * 3 * 4

• 2 * 2 * 6

How many times does the factor 3 appear in the prime factorization of 36?

• Four times

• Three times

• Once

• Twice

What is the least common multiple (LCM) of 24, 60, and 36?

• 720

• 480

• 840

• 360

How many backpacks will have a green stripe, a big yellow dot, and a blue diamond all together?

• 720

• 840

• 480

• 360