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Last updated on November 29th, 2024

LCM of 5 and 15

Q: What is the LCM of 5,10 and 15?

LCM(5,10,15) = 30 30 is the smallest number that appears commonly on the lists of the numbers 5,10 and 15.

Q: What are the common factors of 3 and 5?

There are no shared common factors between the numbers 3 and 5. In cases like this, when there are no common factors between the numbers the GCF is always 1.

Q: What are the common factors of 5 and 12 ?

Factors of 5–1,5 Factors of 12–1,2,3,4,6,12 There are no common factors between the digits but 1, hence, GCF =1.

Q: What is the LCM of 12 and 15?

60 is the smallest number that appears commonly on the lists of the numbers 12 and 15. LCM (12,15) = 60

Q: What is the LCM of 5 and 25 ?

LCM(5,25) = 25 25 is the smallest number that appears commonly on the lists of the numbers 5 and 25.

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

LCM is a common multiple, the smallest value between the numbers 5 and 15. Did you know? We apply LCM unknowingly in everyday situations like setting alarms and to synchronize traffic lights and when making music.

How to find the LCM of 5 and 15

The LCM of 5 and 15 is 15. 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 15 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,…

— Multiples of 15 = 15,15,45,60,75,…

Step 1: Find the smallest number common between the written multiples of 5, 15.

— The smallest common multiple is 15

Thus, LCM(5,15) = 15

LCM of 5 and 15 using the Prime Factorization Method

Step 1: factorize the numbers into its prime factors

5 = 5×1

15 = 5×3

Step 2: find the highest powers of the factors of 5 and 15

Step 2: Multiply the highest powers

LCM(5,15) = 15

LCM of 5 and 15 using the Division Method

Write the numbers 5,15 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(5,15) = 15

Common Mistakes and how to avoid them while finding the LCM of 5 and 15

LCM of 5 and 15, examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

The LCM of two numbers is 15, and one number is 5, what percentage of the LCM is 5?

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

Explanation

Problem 2

If the LCM of 5 and a number xxx is 15, what is xxx?

Explanation

Problem 3

If the LCM of 5 and 15 is increased by 50%, what is the new value?

Explanation

FAQs on LCM of 5 and 15

1.What is the LCM of 5,10 and 15?

2.What are the common factors of 3 and 5?

3.What are the common factors of 5 and 12 ?

4.What is the LCM of 12 and 15?

5.What is the LCM of 5 and 25 ?

Important glossaries on the LCM of 5 and 15

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.