Table Of Contents

Table of Contents

191 Learners

Last updated on November 29th, 2024

LCM of 9 and 15

Q: What is the LCM of 9,12 and 15?

LCM (9,12,15) = 180. 180 is the smallest number that appears commonly on the lists of the numbers 9,12 and 15.

Q: What is the LCM of 8,9,10,15 and 20?

LCM (8,9,10,15,20) = 360 360 is the smallest number that appears commonly on the lists of the numbers 8,9,10,15 and 20.

Q: What is the HCF of 9,15 and 24?

Factors of 9 are 1,3,9 Factors of 15 are 1,3,5,15 Factors of 24 are 1,2,3,4,6,8,12,24 (9,15,24) = 3

Q: What is the LCM of 9,15 and 24?

360 is the smallest number that is commonly on the lists of the numbers 9,15 and 24. LCM (9,15,24)= 360

Q: Find the LCM of 9 and 15 using the prime factorization method.

Prime factors of 9 =3×3 Prime factors of 15 = 3×5 LCM (9,15) = 3×3×5 = 45

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

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

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

If the LCM of 9 and another number is 45, what is the other number?

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

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.

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.

Explore More numbers

$Math Teacher Image$

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.