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Last updated on May 26th, 2025

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LCM Of 6 And 16

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The Least Common Multiple (LCM) is the smallest number that when we divide by two or more numbers at a time, all three or more numbers divide into it. LCM also helps in math problems and everyday things like event planning or buying supplies. We will find the LCM of 6 and 16 together and what that really means.

LCM Of 6 And 16 for Qatari Students
Professor Greenline from BrightChamps

What Is The LCM Of 6 And 16?

The LCM or the least common multiple of 2 numbers is the smallest number that appears as a multiple of both numbers. In case of 6 and 16, The LCM is 48. But how did we get to this answer? There are different ways to obtain a LCM of 2 or more numbers. Let us take a look at those methods.
 

Professor Greenline from BrightChamps

How To Find The LCM Of 6 And 16

Remember that we previously said there are plenty of ways to calculate the LCM of two numbers or more. Then some of those methods make it extremely easy for us to find the LCM of any two numbers. Those methods are: 

 

  • Listing of Multiples

 

  • Prime Factorization

 

  • Division Method

 

Finally, now we will learn how each of these methods can help us to calculate LCM of given numbers.
 

Professor Greenline from BrightChamps

Finding LCM Of 6 And 16 By Listing Of Multiples

This method will help us find the LCM of the numbers by listing the multiples of the given numbers. Let us take a step by step look at this method.


The first step is to list all the multiples of the given numbers.


Multiples Of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54 and 60.


Multiples Of 16: 16, 32, 48, 64, 80, 96, 112, 128, 144 and 160


The second step is to find the smallest common multiples in both the numbers. In this case, that number is 48 as highlighted above.


By this way we will be able to tell the LCM of given numbers.
 

Professor Greenline from BrightChamps

Finding The LCM By Prime Factorization

Let us break down the process of prime factorization into steps and make it easy for children to understand.
The first step is to break down the given numbers into its primal form. The primal form of the number is:


6= 3×2


16= 2×2×2×2


As you can see, 2 appears as a prime factor in both numbers. So instead of considering 2 five times, we will only consider it four times. So the final equation will look like (2×2×2×2×3).


So after the multiplication, we will be getting the LCM as 48.


As you can see, using this method can be easier for larger numbers compared to the previous method. 
 

Professor Greenline from BrightChamps

Finding The LCM By Division Method

The method to calculate the LCM is really simple. We’ll break these given numbers apart till it comes down to one, by dividing it by the prime factors. The product of the divisors that will come is the LCM of the given numbers.


Let us understand it step by step:

 

  • The first thing is to find the number common in both the numbers. Here it is 2. In that case, we divide both the numbers by 2. It will reduce the values of the numbers to 3 and 8.

 

  • 3 is a prime number, it can be divided by only 3. That means After dividing, there will be only 8 left. This can be divided by 2 which will make it 4. This can be divided again to bring it down to 2. As 2 is a prime number, it can only be divided by 2. After this step, there will only be 1’s left in the last row.

 

  • This is the end of division. However, we will now find the product of the numbers on the left. The numbers on the left side are 2, 2, 2, 2, and 3. 

 

These numbers multiplied give 48. On this basis, therefore, the LCM of the 6 and 16 becomes 48.
 

Max Pointing Out Common Math Mistakes

Common Mistakes That Are Made And How To Avoid Them in LCM Of 6 And 16.

Let us look at some of the common mistakes that can happen while solving a given assignment regarding LCM.
 

Mistake 1

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Missing a prime factor
 

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

Children sometimes may forget to write all the prime factors for a given number. So, at the start we have to write all the prime factors for the given numbers which won’t cause any problems later on.
 

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LCM Of 6 And 16 Examples

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

Suppose the length of each balloon is 6 inches and 16 inches long, what is the least length to accommodate both?

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 The least length is 48 inches.
 

Explanation

 48 inches is the smallest length that can fit both 6-inch and 16-inch balloons without needing to cut or fold them.
 

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Max, the Girl Character from BrightChamps

Problem 2

Two kids have crayons: one with 6 colors, and another with 16 colors. What’s the smallest number of colors to have both?

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48 is the smallest number of colors both can have.
 

Explanation

The smallest number that 6 and 16 can both fit into is 48, so both can share all colors.
 

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Max, the Girl Character from BrightChamps

Problem 3

There are 6 tables and 16 chairs at a party. How many can you fit and evenly?

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You can fit 48 guests evenly, with 8 guests at each of the 6 tables.
 

Explanation

If there are 6 tables and 8 guests sit at each table, you multiply 6 times 8 to get 48 guests in total.
 

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Max, the Girl Character from BrightChamps

Problem 4

If you have 6 gift boxes and 16 ribbons, what’s the least number of gifts to use all?

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48 gifts is the smallest number that fits perfectly with 6 boxes and 16 ribbons.

Explanation

To use all 6 boxes and 16 ribbons with no leftovers, 48 gifts work, as it is divided evenly by both 6 and 16.
 

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Max, the Girl Character from BrightChamps

Problem 5

Two have 6 gears and two 16 gears. How many gear cycles is the least for both?

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 The least gear cycle for both is 48.

Explanation

The smallest number of cycles both gears will align is 48. This happens when you find the LCM (The Least Common Multiple) of 6 and 16.
 

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Ray Thinking Deeply About Math Problems

FAQs For LCM Of 6 And 16

1.What is the LCM of 6 and 16?

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2.How do you find the LCM of 2 and 4?

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3.What are the multiples of 6 and 16 up to 48?

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4.Can the LCM of 6 and 16 be a prime number?

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5.What is the GCF of 6 and 16?

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6.How can children in Qatar use numbers in everyday life to understand LCM Of 6 And 16?

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7.What are some fun ways kids in Qatar can practice LCM Of 6 And 16 with numbers?

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8.What role do numbers and LCM Of 6 And 16 play in helping children in Qatar develop problem-solving skills?

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9.How can families in Qatar create number-rich environments to improve LCM Of 6 And 16 skills?

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Professor Greenline from BrightChamps

Important Glossaries for LCM of 6 and 16

  • Multiple: A number that can be made by multiplying a given number by an integer (like 1, 2, 3, etc.). For example, multiples of 6 include 6, 12, 18, and so on.

 

  • Prime Factorization: Breaking down a number into its prime factors. For example, the prime factorization of 6 is 2 × 3.

 

  • Common Factor: A number that can divide two or more numbers without leaving a remainder. For instance, 2 is a common factor of 6 and 16.

 

  • Divisibility: A term that describes whether one number can be divided by another without leaving a remainder. For example, 6 is divisible by 3.
     
Professor Greenline from BrightChamps

About BrightChamps in Qatar

At BrightChamps, numbers represent more than digits—they unlock countless opportunities! Our goal is to help children throughout Qatar master important math skills, focusing on the LCM Of 6 And 16 with special attention on understanding the LCM—in a lively, fun, and easy way. Whether your child is calculating how fast a roller coaster moves at Qatar’s Angry Birds World, keeping score at local football matches, or managing their allowance to buy gadgets, mastering numbers builds confidence for daily challenges. Our interactive lessons make learning enjoyable and simple. Because children in Qatar learn in many different ways, we adapt our approach to suit each learner. From Doha’s modern cityscape to desert landscapes, BrightChamps makes math come alive. Let’s make the LCM a fun part of every child’s learning!
INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom