Table Of Contents
149 LearnersLast updated on November 30th, 2024
LCM of 15 and 27
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.
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.
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.
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.
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.
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.
Common Mistakes and How to Avoid Them in LCM of 15 and 27
LCM of 15 and 27 Examples
Problem 1
Find the LCM of 15 and x, if the LCM is 60. What is the value of X?
Explanation
Problem 2
Given two pairs of numbers (12,18) and (15,24) which pair has the greater LCM?
Explanation
Problem 3
Simplify the fraction 15/27 by finding the LCM of the numerator and the denominator’s greatest common divisor(GCD).
Explanation
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.
Explanation
Problem 5
If a=18 and LCM of a and b is 90, find b.
Explanation
FAQs on LCM of 15 and 27
1.What is the LCM of 18 and 27?
2.There are how many factors in 3600?
3.Write the LCM of 15,18,24,27 and 56 ?
4.What is the LCM of 8,14 and 9?
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?
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.
Explore More numbers
Previous to LCM of 15 and 27
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.
