166 LearnersLast updated on May 26th, 2025
LCM of 15 and 25
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
Listed here are a few mistakes that one can commit when trying to find the LCM of the numbers 15 and 25. Try to avoid them.
Mistake 1
Listing incorrect multiples
If the LCM of given numbers is 25 double-check that the number appears on the list of both 15 and 25.
LCM of 15 and 25 Examples
Problem 1
Use the formula LCM(a,b)=a×b/GCF(a,b) to find the LCM of 15 and 25.
a=15, b=25
GCF(15,25)=5
Using the formula: LCM(15,25)=15×25/5=375/5=75
Explanation
This formula is a reliable shortcut that uses the product of the numbers divided by their greatest common factor(GCF).
Problem 2
The ratio of two numbers is 3:5. If the LCM of the numbers is 75, find the two numbers.
Let the numbers be 3x and 5x
LCM(3x,5x)=x×LCM(3,5)=x×15
Since the LCM is given as 75, x×15=75, so x=5
The numbers are 3x=15 and 5x=25
Explanation
The ratio defines the numbers as multiples of 3 and 5. Using the LCM, we solve for the common factor x.
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?
The next time the bells will ring together is after LCM (15,25) minutes.
LCM(15,25)=75
Therefore, the bells will next ring together at 12:00 + 75 minutes = 1:15 PM.
Explanation
The LCM gives the interval at which both events (bell ringing) coincide.
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?
6.How can children in United Kingdom use numbers in everyday life to understand LCM of 15 and 25?
7.What are some fun ways kids in United Kingdom can practice LCM of 15 and 25 with numbers?
8.What role do numbers and LCM of 15 and 25 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve LCM of 15 and 25 skills?
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.
Fun Fact
: She loves to read number jokes and games.
