219 LearnersLast updated on May 26th, 2025
LCM of 9 and 15
LCM is a common multiple, the smallest value between the numbers 3 and 8. 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 9 and 15?
The LCM of 3 and 8 is 24. 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 9 and 15 Using Listing the Multiples
Step 1: Write down the multiples of the numbers. Don’t stop too early.
Multiples of 9 = 9,18,27,36,45,54,…
Multiples of 15 = 15,30,45,60,75,…
Step 2: Find the smallest number common between the written multiples of 9 and 15
The smallest common multiple is 45
Thus, LCM(9,15) = 45
LCM of 9 and 15 Using Prime Factorization
Step 1: factorize the numbers into its prime factors
9 = 3×3
15 = 3×5
Step 2:find the highest powers of the factors of 9 and 15
Step 3:Multiply the highest powers
LCM(9,15) = 45
LCM of 9 and 15 Using Division Method
- Write the numbers 9,15 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(9,15) = 45
Common Mistakes and how to avoid them while finding the LCM of 9 and 15
Listed here are a few mistakes that one can commit when trying to find the LCM of the numbers 9 and 15. Try to avoid them.
Mistake 1
Listing incorrect multiples
If the LCM of given numbers is 45, double-check that the number appears on the list of both 9 and 15.
LCM of 9 and 15 Examples
Problem 1
If the LCM of 9 and another number is 45, what is the other number?
Prime factorization of 9: 9=32
LCM = 45 = 32.×5
The other number must have 3 and 5 in its prime factorization, but not more than 31 to keep the LCM as 45.
Explanation
Therefore, the missing number is 15.
Problem 2
A company has meetings every 9 days and 15 days. If both the conference rooms are booked today, when will they next be booked together ?
LCM(9,15) =45
Explanation
The conference rooms will be booked on the same day in 45 days again. The LCM expresses the smallest common time interval between the digits.
Problem 3
The ratio of the LCM of 9 and 15 to their GCF is what?
LCM(9,15)=45, GCF(9,15)=3
Ratio = LCM/GCF=45/3=15
Explanation
The ratio of the LCM of 9 and 15 to their GCF is 15.
FAQs on LCM of 9 and 15
1. What is the LCM of 9,12 and 15?
2.What is the LCM of 8,9,10,15 and 20?
3.What is the HCF of 9,15 and 24?
4.What is the LCM of 9,15 and 24?
5. Find the LCM of 9 and 15 using the prime factorization method.
6.How can children in Indonesia use numbers in everyday life to understand LCM of 9 and 15 ?
7.What are some fun ways kids in Indonesia can practice LCM of 9 and 15 with numbers?
8.What role do numbers and LCM of 9 and 15 play in helping children in Indonesia develop problem-solving skills?
9.How can families in Indonesia create number-rich environments to improve LCM of 9 and 15 skills?
Important glossaries on the LCM of 9 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.
Fun Fact
: She loves to read number jokes and games.
