Least Common Multiple of 8026/269, 2561/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8026/269, 2561/625 quickly i.e. 20554586 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8026/269, 2561/625 is 20554586.

LCM(8026/269, 2561/625) = 20554586

LCM of 8026/269, 2561/625

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 8026/269,2561/625

Given numbers are 8026/269,2561/625

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 8026,2561

Least Common Multiple of Numerators i.e. LCM of 8026,2561 is 20554586.

GCF of Denominators means GCF of 269,625 as per the given fractions.

GCF of 269,625 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8026,2561

LCM of Fractions 8026/269,2561/625 is 20554586

Given numbers has no common factors except 1. So, there LCM is their product i.e 20554586

Least Common Multiple of 8026,2561 with GCF Formula

Least Common Multiple of 8026,2561 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 8026,2561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8026,2561) = 1

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

GCF(8026,2561) x common factors =1 x 1 = 1

LCM(8026,2561) = ( 8026 × 2561 ) / 1

LCM(8026,2561) = 20554586 / 1

LCM(8026,2561) = 20554586


Lets's calculate GCF of 269,625

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20554586/1

Therefore the LCM of Fractions 8026/269,2561/625 is 20554586

Greatest Common Factor of 269,625 By Matching Biggest Common Factor Method

Greatest Common Factor of 269,625 By Matching Biggest Common Factor Method

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 269,625 . The biggest common factor number is the GCF number.
So the greatest common factor 269,625 is 1.


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 8026/269, 2561/625

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 8026/269, 2561/625?

Answer: LCM of Numerators as per given numbers 8026/269, 2561/625 is

LCM of Numerators i.e. for 8026,2561 is 20554586

GCF of denominators i.e. for 269,625 is 1.

Thus, LCM of Fractions is 20554586.Finally, LCM of Fractions for 8026/269, 2561/625 is 20554586.