166 LearnersLast updated on May 26th, 2025
LCM of 6,7 and 8
LCM is a common multiple, the smallest value between the numbers 6,7 and 8. Did you know? We apply LCM unknowingly in everyday situations like setting alarms and to synchronize traffic lights and when making music.
What is the LCM of 6,7 and 8?
The LCM of 6,7 and 8 is 168. We can find the LCM using the Listing multiples method, the prime factorization method and the long division method. These are explained below.
LCM of 6,7 and 8 Using Listing the Multiples
Step 1: Write down the multiples of the numbers. Don’t stop too early.
Multiples of 6 = 6,12,18,24,30,36,42,48,54,60,66,72,78,….168
Multiples of 7 = 7,14,21,28,35,42,49,56,…168
Multiples of 8 = 8, 16,24,32,40,48,56,…..168
Step 2: Find the smallest number common between the written multiples of 6,7 and 8
The smallest common multiple is 168
Thus, LCM(6,7,8) = 168
LCM of 6,7 and 8 Using Prime Factorization
Step 1:factorize the numbers into its prime factors
6 = 2×3
7 = 7
8 = 2×2×2
Step 2:find the highest powers of the factors of 6,7 and 8
Step 3:Multiply the highest powers
LCM(6,7,8) = 168
LCM of 6,7 and 8 Using Division Method
- Write the numbers 6,7,8 in a row
- Divide them by their common prime factors, if there is one
- Carry forward the numbers that are left undivided by the previously chosen factor
- Continue dividing until the remainder is ‘1’
- Multiply the divisors to find the LCM
- LCM (6,7,8) = 168
Common Mistakes and how to avoid them while finding the LCM of 6,7 and 8
Listed here are a few mistakes that one can commit when trying to find the LCM of the numbers 6,7 and 8. Try to avoid them.
Mistake 1
Listing incorrect multiples
If the LCM of given numbers is 168, double-check that the number appears on the list of 6,7 and 8.
LCM of 6,7 and 8, examples
Problem 1
Use the relationship LCM(a,b)×GCF(a,b)=a×b to verify that the LCM of 6 and 8 is 24.
Prime factorization of 6: 2×3
Prime factorization of 8: 23
GCF(6, 8) = 2,
6×8=48
Using the formula:
LCM(6, 8) ×GCF(6,8)=6×8
LCM(6,8)×2=48⇒LCM(6,8)=24
Explanation
The formula is verified, and the LCM is 24.
Problem 2
Goods are received by a shipping company every 6,7 and 8 months. If the shipments have been received today, when will they next arrive at, the same day?
The LCM of 6,7 and 8 is 168.
Explanation
The goods will be received next in 168 months at the same time. The LCM of 6,7 and 8 is 168, which is the smallest common time interval for the given digits.
Problem 3
One of the numbers in the LCM calculation of 6, 7, and 8 was incorrectly identified as 4 instead of its correct value. The result was 84 instead of 168. What was the incorrect number?
LCM of 6, 4, and 7 = LCM(6, 4, 7).
Prime factorization of 4: 22
LCM(6, 4, 7) = 22×3×7=84
Explanation
The incorrect number is 8, which was mistakenly taken as 4.
FAQs on LCM of 6,7 and 8
1.List the multiples of 6,7 and 8.
2. How to find LCM in permutation?
3. What is the LCM of 7and 5?
4.What is the LCM of 4,5 and 7?
5.What is the LCM of 4,7 and 10?
6.How can children in Qatar use numbers in everyday life to understand LCM of 6,7 and 8?
7.What are some fun ways kids in Qatar can practice LCM of 6,7 and 8 with numbers?
8.What role do numbers and LCM of 6,7 and 8 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve LCM of 6,7 and 8 skills?
Important glossaries for the LCM of 6,7 and 8
- Multiple — product of a number and a natural integer
- Prime factor — number one gets after prime factorization any given number
- Prime factorization — the process of breaking the number into its prime factors
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About BrightChamps in Qatar
Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
