Understanding Least Common Multiple (LCM)

The video tutorial explains how to find the least common multiple (LCM) of the numbers 8 and 6. It introduces two methods: using a fraction wall and using loose rods. The fraction wall method involves visualizing the LCM by aligning rods of different lengths to find the shortest train of equal length. The loose rods method involves incrementally adding rods to form trains of equal length. Both methods demonstrate that the LCM of 8 and 6 is 24, which is the smallest number divisible by both.

What is the Least Common Multiple (LCM) of two numbers?

• The sum of the two numbers

• The smallest number that is a multiple of both numbers

• The difference between the two numbers

• The largest number that divides both numbers

Which method uses rods to visually find the LCM?

• Fraction Wall

• Division Chart

• Multiplication Table

• Number Line

In the fraction wall method, how many six rods are needed to match the length of a twenty-four rod?

• Two

• Three

• Four

• Five

How many eight rods are required to form a train of the same length as four six rods?

• Two

• One

• Three

• Four

What is the length of the train formed by three eight rods?

• Eighteen

• Twenty

• Twenty-four

• Thirty

In the loose rods method, which rod is added first to form a train?

• Eight rod

• Six rod

• Four rod

• Two rod

What happens when the eight rod train is shorter than the six rod train in the loose rods method?

• Add another six rod

• Remove an eight rod

• Add another eight rod

• Remove a six rod

How many six rods are needed to match the length of three eight rods in the loose rods method?

• Two

• Five

• Three

• Four

What is the LCM of eight and six as demonstrated in the video?

• Twelve

• Eighteen

• Twenty-four

• Thirty

Why is twenty-four considered the LCM of eight and six?

• It is the smallest number that is a multiple of both

• It is the largest number that divides both

• It is the difference between eight and six

• It is the sum of eight and six