200 LearnersLast updated on November 29th, 2024
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
LCM of 9 and 15 Examples
Problem 1
If the LCM of 9 and another number is 45, what is the other number?
Explanation
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 ?
Explanation
Problem 3
The ratio of the LCM of 9 and 15 to their GCF is what?
Explanation
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 India use numbers in everyday life to understand LCM of 9 and 15 ?
7.What are some fun ways kids in India 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 India develop problem-solving skills?
9.How can families in India 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.
