Finding LCM and GCF Using Ladder Technique

This video tutorial explains how to find the Least Common Multiple (LCM) and Greatest Common Factor (GCF) of three or more numbers using the ladder technique. It provides three examples to illustrate the process, demonstrating how to identify common factors and calculate the LCM by multiplying the factors. The video emphasizes the importance of understanding the relationship between LCM and GCF, and offers a step-by-step approach to solving these problems.

What is the LCM of a set of numbers?

• A number smaller than any in the set

• A number that divides all numbers in the set

• A number that is a factor of all numbers in the set

• A number equal to or larger than any in the set

Which technique is used to find the GCF in the video?

• Box method

• Ladder technique

• Division method

• Multiplication method

In the ladder technique, what do you do if a number does not divide evenly?

• Divide it by the smallest number

• Multiply it by the next number

• Bring the number down as is

• Ignore the number

What is the first step in finding the LCM using the ladder technique?

• Add all numbers together

• Subtract the smallest number from the largest

• Find a number that divides all numbers

• Multiply all numbers together

What is the GCF of 18, 8, and 24 as found in the video?

• 6

• 2

• 8

• 4

What is the LCM of 18, 8, and 24 as calculated in the video?

• 72

• 48

• 36

• 24

In the final example, what is the GCF of 14, 10, and 18?

• 1

• 2

• 5

• 3

What is the LCM of 14, 10, and 18 as found in the video?

• 630

• 420

• 210

• 105

What do you do when no pairs divide evenly in the ladder technique?

• Stop the process

• Multiply the numbers on the outside

• Divide by the largest number

• Add the numbers on the outside

What is the final multiplication step in the last example to find the LCM?

• 2 * 3 * 5 * 7 * 9

• 2 * 1 * 7 * 5 * 9

• 2 * 1 * 6 * 5 * 9

• 2 * 1 * 5 * 7 * 8