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Last updated on November 29th, 2024

LCM of 7 and 9

Q: What is the HCF of 7 and 9?

Factors of 7 are 1,7 Factors of 9 are 1,3,9 7 and 9 share no common factors but 1, therefore, the HCF is 1.

Q: What are the multiples of 7 and 9?

Multiples of 7: 7,14,21,28,35,42,49,56,63,… Multiples of 9: 9,18,27,36,45,54,63,… The least common multiples of 7 and 9 = 63

Q: What is the LCM of 7,9,21 and 1?

63 is the smallest number that appears commonly on the lists of the numbers 7,9,21 and 1. LCM (1,7,9,21)= 63

Q: What is divisible by 7 and 9?

The LCM of 7,9 is 63, therefore, all multiples of 63 are divisible by 7 and 9. A few of these numbers include, 63,126,189,252,315,378,441 and so on.

Q: What is the LCM of 6,7,9 and 12?

252 is the smallest number that appears commonly on the lists of the numbers 6,7,9 and 12 LCM(6,7,9,12) = 252

Professor Greenline Explaining Math Concepts

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LCM is a common multiple, the smallest value between the numbers 7 and 9. 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 7 and 9?

The LCM of 7 and 9 is 63. 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 7 and 9 Using Listing the Multiples

Step 1: Write down the multiples of the numbers. Don’t stop too early.

Multiples of 7 = 7, 14,21,28,35,42,49,56,63,70,…

Multiples of 9 = 9,18,27,36,45,54,63,…

Step 2:Find the smallest number common between the written multiples of 3 and 8

The smallest common multiple is 63

Thus, LCM(7,9) = 63

LCM of 7 and 9 Using Prime Factorization

Step 1: factorize the numbers into its prime factors

7 = 7×1

9 = 3×3

Step 2: find the highest powers of the factors of 7 and 9

Step 3: Multiply the highest powers

LCM(7,9) = 63

LCM of 7 and 9 Using Division Method

Write the numbers 7,9 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(7,9) = 63

Common Mistakes and how to avoid them while finding the LCM of 7 and 9

LCM of 7 and 9, examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

The LCM of 7 and 9 is 63. If the LCM increases by 20%, what is the new value?

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

Explanation

Problem 2

Simplify the fraction LCM(7,9)/GCF(7,9).

Explanation

Problem 3

A car mechanic services a red car every 7 days and a blue car every 9 days. If the cars are serviced today, when will they be serviced next together?

Explanation

FAQs on LCM of 7 and 9

1.What is the HCF of 7 and 9?

2.What are the multiples of 7 and 9?

3.What is the LCM of 7,9,21 and 1?

4.What is divisible by 7 and 9?

5.What is the LCM of 6,7,9 and 12?

Important glossaries for the LCM of 7 and 9

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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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.