Least Common Multiple and Prime Factors

The video tutorial explains how to find the least common multiple (LCM) of numbers. It begins by reviewing what multiples are and their significance in math. The concept of LCM is introduced, and a method of comparing multiples is demonstrated using the numbers 2 and 8. The video then introduces the common division method, which is useful for larger numbers, using 50 and 75 as examples. The tutorial concludes with encouragement to explore more educational content.

What is a multiple in mathematics?

• A number that can be divided by another number without a remainder

• The sum of two numbers

• The product of a number and any other whole number

• A number that is only divisible by 1 and itself

Which of the following is a multiple of 3?

• 7

• 10

• 15

• 22

What is the least common multiple of two numbers?

• The smallest number that is a multiple of both numbers

• The difference between the two numbers

• The sum of the two numbers

• The largest number that divides both numbers

How can you find the least common multiple by comparing multiples?

• By dividing the larger number by the smaller one

• By subtracting the smaller number from the larger one

• By listing the multiples of each number and finding the smallest common one

• By adding the numbers together

What is the least common multiple of 2 and 8?

• 8

• 6

• 4

• 2

What is the common division method used for?

• Finding the greatest common divisor

• Subtracting two numbers

• Finding the least common multiple of larger numbers

• Adding two numbers

Which of the following is a prime number?

• 4

• 6

• 9

• 11

What is the first step in the common division method?

• Subtract the smaller number from the larger one

• Multiply the numbers together

• Divide the numbers by the smallest common prime factor

• Add the numbers together

In the example of finding the least common multiple of 50 and 75, what is the first prime factor used?

• 3

• 5

• 2

• 7

What is the least common multiple of 50 and 75?

• 150

• 100

• 175

• 125