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Last updated on May 26th, 2025

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LCM of 15 and 27

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The meaning of least common factor (LCM) is to find the smallest number that divides any two integers evenly. LCM is used mainly in fractions to find a common number for both the integers. We use LCM for solving problems, lining up cycles or even synchronizing of events, also to schedule tasks in everyday life.

LCM of 15 and 27 for US Students
Professor Greenline from BrightChamps

What is the LCM of 15 and 27?

We use LCM of 15 and 27 to find  the smallest number that divides both the numbers equally.  The smallest positive number is the number that divides both numbers equally, is 210 without leaving any remainder. LCM is used mainly in fractions to find a common number for both the integers.
  

Professor Greenline from BrightChamps

How to find the LCM of 15 and 27?

The LCM of 15 and 27 can be found by the following methods like division method, listing multiples, prime factorization.
 

Professor Greenline from BrightChamps

LCM of 15 and 27 using Division method:

In division method, we divide both the numbers, we begin with dividing side by side the smallest number. We continue dividing until we get a common number that divides both the numbers equally. It makes it easier for the children to focus on prime factors and identify them.

 

  • 3 divides 15 and 27

 

  • 5 divides 15 and not 27

 

  • 9 divides 27 and not 15

 

Now multiply the divisors : 3×5×9=135 which is the LCM.
 

Professor Greenline from BrightChamps

LCM of 15 and 27 using Listing multiples:

Start by listing multiples of both the numbers separately:


Multiples of 15 are 15,30,45,60,75,90,105,120,135…..


Multiples of 27 are 27,54,81,108,135…..

 

The least common factor from the list is 135. Therefore, the LCM of 15 and 27 is 135.
 

Professor Greenline from BrightChamps

LCM of 15 and 27 using Prime factorization:

We part both the numbers unto factors:


Factor of 15: 3×5


Factors of 27: 33

 

Take the powers of both the numbers and multiply together:


LCM=33x5=135.
 

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in LCM of 15 and 27

While solving problems based on the LCM of 15 and 27, children fail to understand few concepts, to give an idea of the mistakes, given below are a few mistakes and solutions of how to avoid them:
 

Mistake 1

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Stopping the division method way too soon.
 

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

Students sometimes stop dividing very soon, when they are not able to divide both the numbers with the same number. For example, we can divide14 by 2, but 15 isn't divisible by 2. To continue the dividing method until all the factors are found. The students should continue dividing until they find the common number that divides both the integers.
 

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LCM of 15 and 27 Examples

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

Find the LCM of 15 and x, if the LCM is 60. What is the value of X?

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X=4.

Explanation

To add the fractions, we need to find the prime factorization of 15


 Prime factors of 15: 3 × 5


The LCM of 15 and X is given as 60.


 60= 22 x3x5

 

Since X shares factors with 60, the  missing number should include 22 as 15 does not include any factor of 2.

 

Therefore, 


X=22=4.

 

LCM of 15 and 4 is : 

 


LCM(15,4)= 22  × 3 × 5 =60.

 

Thus, X=4.
 

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 2

Given two pairs of numbers (12,18) and (15,24) which pair has the greater LCM?

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let us first find LCM of each pair:


LCM of 12 and 18: 


Factorization of 12= 22  × 3


Factors of 18= 2x 32


Take the highest powers of both the numbers:


LCM(12,18)= 22 × 32 = 4 × 9=36

 

LCM of 15 and 24:


Factorization of 15= 3 × 5


Factorization of 24= 23 × 3


Take the highest powers of both the numbers:


LCM(15,24)= 23 × 3 × 5= 8 × 15=120.
 

Explanation

LCM(15,24)= 120

LCM(12,18)= 36

so, (15,24 has greater LCM

 

 

 

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Max, the Girl Character from BrightChamps

Problem 3

Simplify the fraction 15/27 by finding the LCM of the numerator and the denominator’s greatest common divisor(GCD).

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answer : 5/9

Explanation

Prime Factorization of 15:


15=3 × 5

Prime Factorization of 27:


27=33

 

GCD of 15 and 27 is 3.

 

To simplify: 


15/27 = 15÷3/27÷3 = 5/9.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 4

If the LCM of two numbers a and b is 72, and their GCD is 4. Find the product of a and b.

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product of a and b =288

Explanation

LCM(a, b) x GCD (a, b)= a × b


LCM(a, b)=72 and GCD(a, b)=4


72 × 4= a × b


a × b =288.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 5

If a=18 and LCM of a and b is 90, find b.

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

b=10.

Explanation

 by using the formula:


LCM(a, b)= a × b/GCD(a, b)

 

18=2x32 and the LCM is 90


Factors of 90 are 2 × 32 × 5


The missing factor is 5, so b =5 × 2 =10


b=10.

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FAQs on LCM of 15 and 27

1.What is the LCM of 18 and 27?

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2.There are how many factors in 3600?

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3.Write the LCM of 15,18,24,27 and 56 ?

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4.What is the LCM of 8,14 and 9?

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5.If the LCM of two numbers a and b is 840, and one of the numbers is 28, find the smallest possible value of b?

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6.How can children in United States use numbers in everyday life to understand LCM of 15 and 27?

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7.What are some fun ways kids in United States can practice LCM of 15 and 27 with numbers?

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8.What role do numbers and LCM of 15 and 27 play in helping children in United States develop problem-solving skills?

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9.How can families in United States create number-rich environments to improve LCM of 15 and 27 skills?

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Professor Greenline from BrightChamps

Important glossaries on the LCM of 15 and 14

  • Prime Factor: A natural number or whole number which has factors that are 1 and itself. For Example, 3 is a prime number.

 

  • Prime Factorization: The process of breaking down a number into its prime factors is called Prime Factorization. For example, the factorization of 14 is 2×7.

 

  • Co-prime numbers: numbers which have the only positive divisor of them both as 1. For example, 6 and 7.
     
Professor Greenline from BrightChamps

About BrightChamps in United States

At BrightChamps, we believe numbers are more than just figures—they unlock a world full of possibilities! Our goal is to help children throughout the United States master key math skills, focusing today on the LCM of 15 and 27 with special attention to understanding the LCM—in a way that’s engaging, fun, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Disney World, keeping score during a Little League baseball game, or managing their allowance to save for cool gadgets, knowing numbers builds confidence for everyday life. Our hands-on lessons make learning enjoyable and straightforward. Since kids in the USA have unique learning styles, we customize our methods to match each child’s needs. From the lively streets of New York City to the sunny beaches of California, BrightChamps brings math alive, making it meaningful and exciting all across America. Let’s make the LCM an exciting part of every child’s math adventure!
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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.

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Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

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