Least Common Multiple

When finding LCM you must write all the factors of each number?

• True

• False

Tags

CCSS.6.NS.B.4

3.) Find the LCM of 8 and 10. Work out the problem in your notebook and write your answer here.

(a)  

Answer explanation

To find the LCM of 8 and 10, list the multiples: 8 (8, 16, 24, 32, 40...) and 10 (10, 20, 30, 40...). The smallest common multiple is 40. Thus, the LCM of 8 and 10 is 40.

Tags

CCSS.6.NS.B.4

Find the LCM of 7 and 9. Work out the problem in your notebook and record your answer here.

(a)  

Answer explanation

To find the LCM of 7 and 9, we multiply them since they are coprime: 7 x 9 = 63. Therefore, the LCM of 7 and 9 is 63.

Tags

CCSS.6.NS.B.4

What is the Least Common Multiple of 3 and 13?

• 13

• 39

• 26

• 24

Answer explanation

The Least Common Multiple (LCM) of two numbers is the smallest number that is a multiple of both. For 3 and 13, the multiples are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39... The smallest common multiple is 39.

Tags

CCSS.6.NS.B.4

What is the Least Common Multiple of 12 and 10?

• 22

• 44

• 110

• 120

Answer explanation

To find the Least Common Multiple (LCM) of 12 and 10, we can list the multiples: 12 (12, 24, 36, 48, 60, 72, 84, 96, 108, 120) and 10 (10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120). The smallest common multiple is 120.

Tags

CCSS.6.NS.B.4

What is the Least Common Multiple of 6 and 10?

• 16

• 60

• 30

• 20

Answer explanation

To find the Least Common Multiple (LCM) of 6 and 10, list the multiples: 6 (6, 12, 18, 24, 30...) and 10 (10, 20, 30...). The smallest common multiple is 30, making it the correct answer.

Tags

CCSS.6.NS.B.4

What is the Least Common Multiple of 3, 4, and 5?

• 20

• 30

• 60

• 80

Answer explanation

To find the Least Common Multiple (LCM) of 3, 4, and 5, we determine the highest powers of each prime factor: 3 (3^1), 2 (2^2 from 4), and 5 (5^1). The LCM is 3 x 4 x 5 = 60, making 60 the correct answer.

Tags

CCSS.6.NS.B.4

LCM(6, 7) =

• 84

• 21

• 13

• 42

Answer explanation

To find the LCM of 6 and 7, we multiply them since they are coprime. LCM(6, 7) = 6 * 7 = 42. Thus, the correct answer is 42.

Tags

CCSS.6.NS.B.4

Choose the correct list of the first five multiples of 6. 

• 6, 12, 18, 32, 36

• 6, 14, 22, 28, 34

• 6, 12, 18, 24, 32

• 1, 6, 12, 18, 24

Answer explanation

The first five multiples of 6 are obtained by multiplying 6 by the integers 1 through 5: 6x1=6, 6x2=12, 6x3=18, 6x4=24, and 6x5=30. The correct choice is 6, 12, 18, 24, 30.

Tags

CCSS.4.OA.B.4

The TOP of the fraction

• numerator

• denominator

• factor

• multiple

Answer explanation

In a fraction, the top part is called the numerator. It represents the number of parts we have, while the bottom part is the denominator, indicating the total number of equal parts. Therefore, the correct answer is numerator.

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B