# Common Multiples

This topic would deal with common multiples. If some of the multiples of two or more number are same then those same multiples are termed as common multiples.

Here are few examples illustrating common multiples:

1. List the two common multiples of 5 and 6

Solution:

The multiples of 5 are: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60 …

The multiples of 6 are: 6, 12, 18, 24, 30, 42, 48, 54, 60, 66, 72, 78…

Hence, the common multiples of 5 and 6 are 30 and 60

So, we can see that both 30 and 60 is divisible by 5 and 6

2. Find the ten common multiples of 2 and 4

Solution:

The multiples of 2 are: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40 …

The multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44 …

Hence, the ten common multiples of 2 and 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, and 40

So, we can see all ten common multiples are divisible by 2 and 4

3. Find the three common multiples of 6 and 8

Solution:

The multiples of 6 are: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78 …

The multiples of 8 are: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88…

Hence, the three common multiples of 6 and 8 are 24, 48, and 72

So, we can see that all 24, 48, and 72 is divisible by 6 and 8

4. List the five common multiples of 5 and 10

Solution:

The multiples of 5 are: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60 …

The multiples of 10 are: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100 …

Hence, the five common multiples of 5 and 10 are 10, 20, 30, 40, and 50

So, we can see all 10, 20, 30, 40, and 50 is divisible by 5 and 10

5. Find the five common multiples of 2, 4 and 6

Solution:

The multiples of 2 are: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48 …

The multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56 …

The multiples of 6 are: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78 …

Hence, the five common multiples of 2, 4 and 6 are 6, 12, 24, 36, and 48

So, we can see all 6, 12, 24, 36, and 48 is divisible by 5 and 10

6. Find the first three common multiples of 14 and 16

Solution:

The multiples of 12 are: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144…..

The multiples of 16 are: 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192….

Hence the first three common multiples of 12 and 16 are: 48, 96, 144

So, we can see that all 48, 96, and 144 is divisible by 12 and 16

## You might like these

• ### 5th Grade Math | Numbers |Decimal | Fraction | Geometry |Data & graphs

5th grade math

• ### Worksheet on Divisibility Rules | Questions on Test of Divisibility

This is a worksheet which will provide few problems on the divisibility rule of 2, 3, 4, 5, 6, 7, 8, 9, and 10. 1. Check whether the following numbers are divisible by 2 or 3 or both? (i) 2562 (ii) 5693 (iii) 2201 (iv) 7480 (v) 5296 (vi) 4062 (vii) 4568 (viii) 1425 (ix) 1110

• ### Problems on Divisibility Rules | Rules to Test of Divisibility | Test

Here are few problems on the divisibility rules of 2, 3, 4, 5, 6, 7, 8, 9, and 10 which will help the learners in revising their concepts on the divisibility rules. 1. Check whether 3456 is divisible by 2? Solution: The last digit is an even number (i.e. 6) hence 3456 is

### New! Comments

Have your say about what you just read! Leave me a comment in the box below.

## Recent Articles

1. ### Respiratory Balance Sheet | TCA Cycle | ATP Consumption Process

Feb 18, 24 01:56 PM

The major component that produced during the photosynthesis is Glucose which is further metabolised by the different metabolic pathways like glycolysis, Krebs cycle, TCA cycle and produces energy whic…

Read More

2. ### Electron Transport System and Oxidative Phosphorylation | ETC |Diagram

Feb 04, 24 01:57 PM

It is also called ETC. Electron transfer means the process where one electron relocates from one atom to the other atom. Definition of electron transport chain - The biological process where a chains…

Read More

3. ### Tricarboxylic Acid Cycle | Krebs Cycle | Steps | End Products |Diagram

Jan 28, 24 12:39 PM

This is a type of process which execute in a cyclical form and final common pathway for oxidation of Carbohydrates fat protein through which acetyl coenzyme a or acetyl CoA is completely oxidised to c…

Read More

4. ### Aerobic Respiration | Definition of Aerobic Respiration | Glycolysis

Dec 15, 23 08:42 AM

This is a type of respiration where molecular free oxygen is used as the final acceptor and it is observed in cell. Site of Aerobic Respiration - Aerobic respiration is observed in most of the eukaryo…

Read More

5. ### Fermentation | Definition | Types of Fermentation | Application

Nov 29, 23 10:27 PM

Definition of fermentation- It is a process that is energy yielding process of anaerobic oxidation of organic compounds which are carried out by the enzyme action of micro organisms where neither gase…

Read More