Understanding Lowest Common Multiple

The video tutorial explains how to find the lowest common multiple (LCM) of the numbers 12, 15, and 75. It begins by defining LCM and its relation to multiplication, emphasizing that the LCM is equal to or larger than the largest number. The tutorial then introduces the use of a factor tree to identify prime factors, which are arranged in columns. The process involves bringing down one number from each column and multiplying them to find the LCM. The final calculation shows that the LCM of 12, 15, and 75 is 300.

What does the term 'multiple' imply in the context of finding the lowest common multiple?

• Subtraction

• Multiplication

• Division

• Addition

Which method is suggested for organizing the prime factors of numbers?

• Using a calculator

• Drawing a factor tree

• Using a number line

• Listing all multiples

When organizing prime factors in a chart, what should you do if a prime number appears more than once?

• Multiply it by itself

• Bring down only one instance

• Ignore it

• List it multiple times

What is the lowest common multiple of 12, 15, and 75?

• 150

• 225

• 300

• 375

Why is the LCM always equal to or larger than the largest number in the set?

• Because it is a multiple of the largest number

• Because it is a sum of the numbers

• Because it is a difference of the numbers

• Because it is a product of the numbers