Finding the Lowest Common Multiple

This video tutorial explains the concept of the Lowest Common Multiple (LCM) and demonstrates how to find it using examples. It covers the basic definition of LCM, illustrates finding LCM by listing multiples, and introduces prime factorization as a method for more complex numbers. The tutorial includes examples with numbers like 20, 8, 45, 36, 56, and 63, showing step-by-step calculations. The video concludes with a recap and encourages practice to master the concept.

What is the Lowest Common Multiple (LCM) of 20 and 8?

• 40

• 32

• 24

• 16

Which method is used to decompose numbers into their prime factors?

• Division method

• Factor tree method

• Addition method

• Subtraction method

What is the LCM of 45 and 36 using prime factorization?

• 180

• 120

• 90

• 240

When aligning prime factors, what should you avoid doing?

• Using all prime factors

• Duplicating factors

• Using index form

• Calculating powers

What is the LCM of 56 and 63?

• 504

• 336

• 672

• 252

In the example of 56 and 63, what is the highest power of 2 used?

• 2 to the power of 4

• 2 squared

• 2

• 2 cubed

Which of the following is a step in finding the LCM using index form?

• Taking the highest power of each number

• Ignoring prime factors

• Taking the lowest power of each number

• Using only even numbers