Finding Least Common Multiples

The video tutorial explains how to find the least common multiple (LCM) of monomial variable expressions. It begins with a recap of finding the LCM of ordinary numbers by examining their prime factorizations. The process is then applied to monomials, focusing on both numerical coefficients and variable parts. Several examples are provided, including expressions like 15x² and 18x, 14ab and 21bc, and R³ and 5rst². The tutorial concludes with a summary of the key steps and concepts involved in determining the LCM of monomial expressions.

What is the first step in finding the least common multiple of monomial variable expressions?

• Add the coefficients together.

• Find the least common multiple of the coefficients.

• Subtract the smaller coefficient from the larger one.

• Identify the highest power of each variable.

How can you find the least common multiple of two numbers?

• By using their prime factorizations.

• By multiplying the numbers directly.

• By subtracting the smaller number from the larger one.

• By adding the numbers together.

What is the least common multiple of 12 and 9?

• 18

• 24

• 36

• 48

In the expression 9xy² and 15x²y, what is the least common multiple of the coefficients?

• 60

• 45

• 75

• 30

What is the least common multiple of the coefficients 9 and 15?

• 75

• 30

• 45

• 60

When finding the least common multiple of variable expressions, what should you consider for the variables?

• The difference in powers of each variable.

• The sum of the powers of each variable.

• The highest power of each variable.

• The lowest power of each variable.

What is the least common multiple of 15x² and 18x?

• 120x²

• 90x²

• 60x²

• 45x²

For the expressions 14ab and 21bc, what is the least common multiple of the coefficients?

• 35

• 28

• 49

• 42

What is the least common multiple of R³ and 5rst²?

• 5Rst²

• 5R²st²

• 5R³st²

• 5R³s²t

What is the final step in finding the least common multiple of variable expressions?

• Add the coefficients together.

• Divide the coefficients by the highest power of each variable.

• Multiply the coefficients by the highest power of each variable.

• Subtract the smaller coefficient from the larger one.