Least Common Multiple of 260/218, 328/269, 194/323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 260/218, 328/269, 194/323 quickly i.e. 2068040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 260/218, 328/269, 194/323 is 2068040.

LCM(260/218, 328/269, 194/323) = 2068040

LCM of 260/218, 328/269, 194/323

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 260/218,328/269,194/323

Given numbers are 260/218,328/269,194/323

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 260,328,194

Least Common Multiple of Numerators i.e. LCM of 260,328,194 is 2068040.

GCF of Denominators means GCF of 218,269,323 as per the given fractions.

GCF of 218,269,323 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 260,328,194

LCM of Fractions 260/218,328/269,194/323 is 2068040

2 260, 328, 194
2 130, 164, 97
65, 82, 97

∴ So the LCM of the given numbers is 2 x 2 x 65 x 82 x 97 = 2068040

Least Common Multiple of 260,328,194 with GCF Formula

Least Common Multiple of 260,328,194 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 260,328,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,328,194) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(260,328,194) x common factors =2 x 4 = 8

LCM(260,328,194) = ( 260 × 328 × 194 ) / 8

LCM(260,328,194) = 16544320 / 8

LCM(260,328,194) = 2068040


Lets's calculate GCF of 218,269,323

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2068040/1

Therefore the LCM of Fractions 260/218,328/269,194/323 is 2068040

Greatest Common Factor of 218,269,323 By Matching Biggest Common Factor Method

Greatest Common Factor of 218,269,323 By Matching Biggest Common Factor Method

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 269

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

1,269

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Greatest Common Factor

We found the factors 218,269,323 . The biggest common factor number is the GCF number.
So the greatest common factor 218,269,323 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 260/218, 328/269, 194/323

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 260/218, 328/269, 194/323?

Answer: LCM of Numerators as per given numbers 260/218, 328/269, 194/323 is

LCM of Numerators i.e. for 260,328,194 is 2068040

GCF of denominators i.e. for 218,269,323 is 1.

Thus, LCM of Fractions is 2068040.Finally, LCM of Fractions for 260/218, 328/269, 194/323 is 2068040.