Least Common Multiple of 2565/460, 1123/2050

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2565/460, 1123/2050 quickly i.e. 2880495/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2565/460, 1123/2050 is 2880495/10.

LCM(2565/460, 1123/2050) = 2880495/10

LCM of 2565/460, 1123/2050

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 2565/460,1123/2050

Given numbers are 2565/460,1123/2050

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 2565,1123

Least Common Multiple of Numerators i.e. LCM of 2565,1123 is 2880495.

GCF of Denominators means GCF of 460,2050 as per the given fractions.

GCF of 460,2050 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2565,1123

LCM of Fractions 2565/460,1123/2050 is 2880495/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 2880495

Least Common Multiple of 2565,1123 with GCF Formula

Least Common Multiple of 2565,1123 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 2565,1123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2565,1123) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(2565,1123) x common factors =1 x 1 = 1

LCM(2565,1123) = ( 2565 × 1123 ) / 1

LCM(2565,1123) = 2880495 / 1

LCM(2565,1123) = 2880495


Lets's calculate GCF of 460,2050

2 460, 2050
5 230, 1025
46, 205

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2880495/10

Therefore the LCM of Fractions 2565/460,1123/2050 is 2880495/10

Greatest Common Factor of 460,2050 By Matching Biggest Common Factor Method

Greatest Common Factor of 460,2050 By Matching Biggest Common Factor Method

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 2050

List of positive integer factors of 2050 that divides 2050 without a remainder.

1,2,5,10,25,41,50,82,205,410,1025,2050

Greatest Common Factor

We found the factors 460,2050 . The biggest common factor number is the GCF number.
So the greatest common factor 460,2050 is 10.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 2565/460, 1123/2050

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 2565/460, 1123/2050?

Answer: LCM of Numerators as per given numbers 2565/460, 1123/2050 is

LCM of Numerators i.e. for 2565,1123 is 2880495

GCF of denominators i.e. for 460,2050 is 10.

Thus, LCM of Fractions is 2880495/10.Finally, LCM of Fractions for 2565/460, 1123/2050 is 2880495/10.