How to Find the LCM of 265 and 270?

LCM of 265 and 270

Created By : Bhagya
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

It is easy to find the LCM of 265 and 270 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 14310 as output. Here you can check the answer for Find the LCM of 265 and 270.

What is LCM of 265 and 270

Given Numbers are 265, 270

We can find the LCM of 265, 270 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 265 and 270

Multiples of 265 =265,530,795,1060,1325,1590,1855,2120,2385,2650,2915,3180,3445,3710,3975,4240,4505,

Multiples of 270 =270,540,810,1080,1350,1620,1890,2160,2430,2700,2970,3240,3510,3780,4050,4320,4590,

Now, get the least common multiple of 265, 270 which is 14310

So, the LCM of 265, 270 is 14310.

Least Common Multiple (LCM) of 265 and 270 with the help of Prime Factorisation

One method for determining the LCM of 265 and 270 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:

Here is 265's prime factorization:

5	265
53	53
	1

Prime factors of 265 are 5,53.

265 = 5¹×53¹

And this is 270's prime factorization:

2	270
3	135
3	45
3	15
5	5
	1

Prime factors of 270 are 2, 3,5.

270 = 2¹×3³×5¹

When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered: 5,53, 2,3

2¹×3³×5¹×53¹ = 14310

This shows that the LCM of 265 and 270 is 14310.

How to Calculate the LCM of 265 and 270 Using Common Multiples

The first step in determining the Least Common Multiple of 265 and 270 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 265 and 270:

Lets look at the first ten multiples of these numbers, 265 and 270:

265,530,795,1060,1325,1590,1855,2120,2385,4505 are the first ten multiples of 265.

270,540,810,1080,1350,1620,1890,2160,2430,4590 are the first ten multiples of 270.

You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 265 and 270, for example, are 3180, 4505, and 4320. 14310 is the least common multiple since it is the smallest.

265 and 270 have an LCM of 14310.

Least Common Multiple of 265 and 270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 265 and 270, than apply into the LCM equation.

GCF(265,270) = 5
LCM(265,270) = ( 265 × 270) / 5
LCM(265,270) = 71550 / 5
LCM(265,270) = 14310

Related Least Common Multiples of 265

Related Least Common Multiples of 270

Frequently Asked Questions on LCM of 265 and 270

1. What is the LCM of 265 and 270?

The LCM of 265 and 270 is 14310.

2. How to find the lowest common multiple of 265 and 270?

To find the lowest common multiple of 265 and 270, we have to get the multip;es of both numbers and identify the least common multiple in them which is 14310.

3. What are the Factors of 265?

Answer: Factors of 265 are 1, 5, 53, 265. There are 4 integers that are factors of 265. The greatest factor of 265 is 265.

4. What are the Factors of 270?

Answer: Factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270. There are 16 integers that are factors of 270. The greatest factor of 270 is 270.