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Last updated on November 29th, 2024

LCM of 5 and 7

Q: What are the multiples of 5 and 7?

Multiples of 5: 5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100,… Multiples of 7: 7,14,21,28,35,42,49,56,63,70,77,84,91,98,105,112,119,126,133,140,… The common multiples of 5and 7 are 35,70 and 105 till times 20; the LCM is 35.

Q: What is the LCM of 5,7 and 9?

LCM(5, 7,9) =315 315 is the smallest number that appears commonly on the lists of the numbers 5,7 and 9.

Q: What is the GCF of 5 and 7?

Factors of 5 = 1,5 Factors of 7 = 1,7 There are no common factors of 5 and 7, therefore the GCF is 1.

Q: What is the LCM of 3,5 and 7 ?

LCM(3,5,7) =105 105 is the smallest number that appears commonly on the lists of the numbers 5,3 and 7.

Q: What is the LCM of 8 and 5?

40 is the smallest number that appears commonly on the lists of the numbers 8 and 5. LCM(5,8) = 40

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

LCM is a common multiple, the smallest value between the numbers 5 and 7. 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 5 and 7?

The LCM of 5 and 7. 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 5 and 7 using the Listing Multiples Method

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

Multiples of 5 = 5,10,15,20,25,30,35…

Multiples of 7 = 7, 14,21,28,35,…

Step 2: Find the smallest number common between the written multiples of 5 and 7

The smallest common multiple is 35

Thus, LCM(5,7) = 35

LCM of 5 and 7 using the Prime Factorization Method

Step 1: factorize the numbers into its prime factors

5 = 5×1

7 = 7×1

Step 2: find the highest powers of the factors of 5 and 7

Step 3: Multiply the highest powers

LCM(5,7) = 35

LCM of 5 and 7 using the Division Method

Write the numbers 5,7 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(5,7) = 35

Common Mistakes and how to avoid them while finding the LCM of 5 and 7

LCM of 5 and 7, examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

In a neighborhood park, the fountain show is turned on every 5 minutes, and the light show every 7 minutes. If both the shows are turned on at the same time, when will they next be turned on together again?

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

Explanation

Problem 2

The LCM of 5 and 7 is 35. If 35 represents 70% of a certain number, what is the original number?

Explanation

Problem 3

Verify the relationship between the LCM and GCD of 5 and 7 using the formula: LCM(a,b)×GCD(a,b)=a×b

Explanation

FAQs on LCM of 5 and 7

1. What are the multiples of 5 and 7?

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

3. What is the GCF of 5 and 7?

4. What is the LCM of 3,5 and 7 ?

5.What is the LCM of 8 and 5?

Important glossaries for the LCM of 5 and 7

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.