Common Multiples
Which numbers are common multiples of 6 and 9? Choose all that apply.
A. 3
B. 18
C. 36
D. 45
E. 54
B. 18, C. 36, E. 54
(Common multiples include multiples of the least common multiple, which is 18.)
What is the greatest common factor of 9 and 36?
9
Miss Song passes out 15 pens and 40 pencils. How many students are in Miss Song’s math group if each student receives the same number of pens and pencils?
5 (The greatest common divisor of 15 and 40 is 5.)
Kelly has a piano lesson every 12 days, and Leo has a piano lesson every 8 days. How many days from today will they have their next lesson on the same day?
24 (The least common multiple of 12 and 8 is 24.)
Which numbers are common factors of 48 and 72? Choose all that apply.
A. 2
B. 6
C. 24
D. 48
E. 144
A. 2, B. 6, C. 24
What is the least common multiple of 7 and 10?
70
What is the greatest common factor of 18 and 35?
1
Miss Song passes out 15 pens and 40 pencils. If each student receives 3 pens, how many pencils does each student receive?
8 (Each student receives 40/5 = 8 pencils.)
What is the least common multiple of 6 and 9?
18
List all common factors of 10 and 15.
1, 5
Identify two common multiples of 4 and 5.
20, 40, etc.
Find the greatest common factor of 36 and 84.
12
Miss Song passes out 15 pens and 40 pencils. How many pens does each student receive if there are 5 students?
3 (Each student receives 15/5 = 3 pens.)
If a project is due every 10 days and another every 15 days, how often will both projects be due on the same day?
30 (The least common multiple of 10 and 15 is 30.)
Identify the common factors of 20 and 30.
1, 2, 5, 10
Name a common multiple of 3, 4, and 6.
12, 36, 48...
Determine the greatest common factor of 24 and 36.
12
Miss Song passes out 15 pens and 40 pencils. If there are 8 students, how many pencils does each student receive?
5 (Each student receives 40/8 = 5 pencils.)
Find the least common multiple of 5 and 7.
35
Name the common factors of 18 and 24.
1, 2, 3, 6
List three common multiples of 12 and 15
60, 120, and 180
(Common multiples include multiples of the least common multiple, which is 60.)
What is the greatest common factor of 48 and 72?
24
Miss Song passes out 15 pens and 40 pencils. Calculate how many students are in the group if each student receives 5 pencils.
8 (Each student receives 40/5 = 8 students.)
What is the least common multiple of 3, 6, and 9?
18
What are the common factors of 36 and 60?
1, 2, 3, 6, 12