LCM and GCF

How can prime factorization be used to find LCM and GCF?

• By taking the highest power of each prime factor for LCM and the lowest power of each common prime factor for GCF.

• By adding all the prime factors together for both LCM and GCF.

• By multiplying all the prime factors together for both LCM and GCF.

• By taking the average of the prime factors for both LCM and GCF.

How do you find the GCF of two numbers?

• List the multiples of each number and identify the smallest multiple they have in common.

• List the factors of each number and identify the largest factor that they have in common.

• Subtract the smaller number from the larger number until you reach zero.

• Multiply the two numbers together and divide by their least common multiple.

What is the LCM of 15 and 25?

• 50

• 60

• 75

• 100

What is the GCF of two consecutive integers?

• 1

• 2

• The product of the integers

• The sum of the integers

What is the GCF of 30 and 45?

• 10

• 12

• 15

• 20

Can the GCF of two numbers be greater than either of the numbers?

• Yes, the GCF can be greater than one of the numbers.

• No, the GCF of two numbers cannot be greater than either of the numbers.

• The GCF can be equal to one of the numbers.

• The GCF can be less than both of the numbers.

What is the relationship between LCM and GCF?

• LCM(a, b) + GCF(a, b) = a + b

• LCM(a, b) - GCF(a, b) = a - b

• LCM(a, b) * GCF(a, b) = a * b

• LCM(a, b) / GCF(a, b) = a / b

How do you find the LCM of two numbers?

• List the prime factors of each number and multiply them together.

• List the multiples of each number and identify the smallest multiple that they have in common.

• Add the two numbers together and divide by two.

• Multiply the two numbers and take the square root.

What is the GCF of 18 and 24?

• 4

• 6

• 8

• 12

What is the LCM of 4, 5, and 10?

• 10

• 15

• 20

• 25