167 LearnersLast updated on May 26th, 2025
LCM of 6,7 and 9
The smallest number that should also be a positive number, and evenly divide both the numbers, is known as the least common factor. LCM is very important for solving problems, especially fractions, scheduling events etc.
What is the LCM of 6,7 and 9
The LCM of 6,7 and 9 is the lowest number that divides both 6,7 and 9 without leaving any remainder. The LCM of 6,7 and 9 is 126.
How to find the LCM of 6,7 and 9?
The LCM of 6,7 and 9 can be found by the following methods like division method, listing multiples, prime factorization.
LCM of 6,7 and 9 using Division method:
In the division method, we divide both the numbers by the lowest possible number until we get 1 for both numbers.
2 divides 6: → (3, 7, 9)
3 divides 3 and 9: → (1, 7, 3)
7 divides 7: → (1, 1, 3)
3 divides 3: → (1, 1, 1)
LCM = 2 × 3 × 7 × 3 = 126
LCM of 6,7 and 9 using Listing multiples:
We write the multiples of both numbers till we find the common one.
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120, 126
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126
Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126
The common multiple is 30. So, the LCM of 6,7 and 9 is 126.
LCM of 6,7 and 9 using prime factorization:
We part each number into divisors and select the highest powers of all the prime factors.
6= 3 × 2
7= 7
9= 3 × 3
LCM = 2 × 32 × 7= 126.
Common Mistakes and How to Avoid Them in LCM of 6,7 and 9
While solving problems on LCM, children are likely to make common mistakes, here are a few mistakes and how to avoid them.
Mistake 1
Not including the prime factors with the right ones.
Children sometimes get confused and do not include the prime factors, instead of writing 9=3×3 they write 9=3×1. Students should always break numbers into prime numbers.
LCM of 6,7 and 9 Examples
Problem 1
Find the LCM of 6,7 and 9
The common multiple is 30. So, the LCM of 6,7 and 9 is 30.
Explanation
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30…
Multiples of 10: 10, 20, 30…
The common multiple is 30. So, the LCM of 6,7 and 9 is 30.
Problem 2
If a/6+b/9=5/18 , find a and b.
The value of a and b is 1 each.
Explanation
LCM of 6 and 9 is 18
3a/18+2b/18=5/18
3a + 2 b =5
a=1 and b=1.
Problem 3
Simplify the expression: 1/6 + 1/7 + 1/9
When we simplify the expression, we get, 53/126
Explanation
LCM (6,7,9) =126
21 + 18 + 14 / 126 = 53/126
FAQ’s on LCM of 6,7 and 9
1.What is the LCM 6, 7 and 8?
2.What is the LCM of 12,15 and 20?
3.Is 2 a perfect number?
4.Multiply 2/6 and 3/9 and express in the simplest form using the LCM.
5.Important glossaries for LCM of 6,7 and 9
6.How can children in India use numbers in everyday life to understand LCM of 6,7 and 9?
7.What are some fun ways kids in India can practice LCM of 6,7 and 9 with numbers?
8.What role do numbers and LCM of 6,7 and 9 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve LCM of 6,7 and 9 skills?
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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
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