Finding the LCM through Prime Factorization

What is the Least Common Multiple (LCM)?

• The largest number that divides two or more numbers.

• The difference between two or more numbers.

• The smallest number that is a multiple of two or more numbers.

• The sum of two or more numbers.

Why is prime factorization a useful strategy for finding the LCM?

• It only works for even numbers.

• It is the only method to find the LCM.

• It simplifies the process for larger numbers.

• It is faster for smaller numbers.

What are the prime factors of 15?

• 3 and 9

• 3 and 5

• 2 and 5

• 2 and 7

What are the prime factors of 27?

• 2 and 13

• 2 and 7

• 3, 3, and 3

• 3 and 9

How do you match prime factors vertically for 15 and 27?

• By listing all factors in a single row.

• By matching common factors and leaving gaps for missing ones.

• By adding all factors together.

• By subtracting the smaller factors from the larger ones.

What is the LCM of 15 and 27?

• 135

• 180

• 45

• 90

What are the prime factors of 28?

• 2 and 14

• 2, 2, and 7

• 3 and 9

• 2 and 13

What are the prime factors of 52?

• 2 and 7

• 3 and 9

• 2 and 26

• 2, 2, and 13

How do you match prime factors vertically for 28 and 52?

• By subtracting the smaller factors from the larger ones.

• By adding all factors together.

• By matching common factors and leaving gaps for missing ones.

• By listing all factors in a single row.

What is the LCM of 28 and 52?

• 728

• 364

• 208

• 104