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Last updated on November 30th, 2024

LCM of 15 and 25

Q: What is the LCM of 15 and 24?

LCM (15,24) = 120 120 is the smallest number that appears commonly on the lists of the numbers 15 and 24.

Q: What is the GCF of 15 and 25?

GCF of 15 and 25 can be found by listing the factors of the numbers → finding the largest common factor from the list of numbers. Factors of 15 = 1,3,5,15 Factors of 25 = 1,5,25 GCF(15,25) = 5

Q: What is the LCM of 5 and 25?

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

Q: What are the factors of 15 and 25?

Numbers that are multiplied to reach 15 and 25 are called the factors of 15 and 25. Factors of 15 = 1,3,5,15 Factors of 25 = 1,5,25

Q: What is the LCM of 16 and 25?

LCM (16,25) = 400 400 is the smallest number that appears commonly on the lists of the numbers 16 and 25.

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

LCM is a common multiple, the smallest value between the numbers 15 and 25. 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 15 and 25?

The LCM of 15 and 25 is 75. 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 15 and 25 Listing Multiples Method

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

Multiples of 15 = 15,30,45,60,75,…

— Multiples of 25 = 25,50,75,…

Step 2— Find the smallest number common between the written multiples of 15 and 25

The smallest common multiple is 75.

Thus, LCM(15,25) = 75

LCM of 15 and 25 Using Prime Factorization

Step 1— factorize the numbers into its prime factors

15 =3×5

25 =5×5

Step 2— find the highest powers of the factors of 15 and 25

Step 3— Multiply the highest powers

LCM(15,25) = 75

LCM of 15 and 25 Using Division Method

Write the numbers 15,25 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(15,25) = 75

Common Mistakes and how to avoid them while finding the LCM of 15 and 25

LCM of 15 and 25 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

Use the formula LCM(a,b)=a×b/GCF(a,b) to find the LCM of 15 and 25.

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

Explanation

Problem 2

The ratio of two numbers is 3:5. If the LCM of the numbers is 75, find the two numbers.

Explanation

Problem 3

A bell rings every 15 minutes, and another bell rings every 25 minutes. If both bells ring together at 12:00 PM, when will they next ring together?

Explanation

FAQs on LCM of 15 and 25

1. What is the LCM of 15 and 24?

2.What is the GCF of 15 and 25?

3.What is the LCM of 5 and 25?

4.What are the factors of 15 and 25?

5.What is the LCM of 16 and 25?

Important glossaries on the LCM of 15 and 25

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.