Mastering LCM: Unveiling the Magic of Factor Trees and Prime Factorization

The video tutorial demonstrates how to find the least common multiple (LCM) using factor trees. It begins with an introduction to the concept of LCM and the method of prime factorization. The instructor explains the inefficiency of this method compared to the latter method. The video then details the factorization of given values, aligning their prime factors vertically to find the LCM. Finally, the LCM is calculated by multiplying the shared prime factors.

What is the least common multiple (LCM) of two or more values?

• The largest number that divides all the values

• The smallest number that is a multiple of all the values

• The sum of all the values

• The difference between the largest and smallest values

Which of the following is a prime number?

• 4

• 6

• 2

• 8

What is the prime factorization of 4X?

• 4 * X

• X * X

• 2 * 2 * X

• 2 * X

How do you align prime factors when finding the LCM?

• Horizontally

• Diagonally

• Vertically

• Randomly

What is the final LCM of the given values in the video?

• 48 XY

• 36 XY

• 24 XY

• 12 XY