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Last updated on November 29th, 2024

LCM of 6,7 and 9

Q: What is the LCM 6, 7 and 8?

The 6,7 and 8 are (2 × 3)=21 × 31, (7)=71, and (2 × 2 × 2) = 23 respectively.

Q: What is the LCM of 12,15 and 20?

The least common multiple is the smallest multiple that divides both numbers. The LCM of 12,15 and 20 is 60.

Q: Is 2 a perfect number?

No 2 is not a perfect number. A perfect number is a positive integer that is equal to the sum of all its proper divisors.

Q: Multiply 2/6 and 3/9 and express in the simplest form using the LCM.

LCM (6,9)=18 2/6x3/9 = 6/54 =1/9

Q: Important glossaries for LCM of 6,7 and 9

Co-prime: two numbers that have only one number that is 1 as their common factor. For example, 8 and 15 are co-prime numbers. Even Number: A natural number is divisible by 2. For example, 2,4,68,10 etc. Prime Factorization: The process of parting down a number into its prime factors is called Prime Factorization. For example, prime factorization of 24 = 2 × 2 × 2 × 3.

Professor Greenline Explaining Math Concepts

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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

LCM of 6,7 and 9 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

Find the LCM of 6,7 and 9

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Problem 2

If a/6+b/9=5/18 , find a and b.

Explanation

Problem 3

Simplify the expression: 1/6 + 1/7 + 1/9

Explanation

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

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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.