Least Common Multiple of 273/535, 6027/4194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 273/535, 6027/4194 quickly i.e. 78351 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 273/535, 6027/4194 is 78351.

LCM(273/535, 6027/4194) = 78351

LCM of 273/535, 6027/4194

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 273/535,6027/4194

Given numbers are 273/535,6027/4194

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 273,6027

Least Common Multiple of Numerators i.e. LCM of 273,6027 is 78351.

GCF of Denominators means GCF of 535,4194 as per the given fractions.

GCF of 535,4194 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 273,6027

LCM of Fractions 273/535,6027/4194 is 78351

3 273, 6027
7 91, 2009
13, 287

∴ So the LCM of the given numbers is 3 x 7 x 13 x 287 = 78351

Least Common Multiple of 273,6027 with GCF Formula

Least Common Multiple of 273,6027 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 273,6027 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(273,6027) = 21

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

GCF(273,6027) x common factors =21 x 1 = 21

LCM(273,6027) = ( 273 × 6027 ) / 21

LCM(273,6027) = 1645371 / 21

LCM(273,6027) = 78351


Lets's calculate GCF of 535,4194

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78351/1

Therefore the LCM of Fractions 273/535,6027/4194 is 78351

Greatest Common Factor of 535,4194 By Matching Biggest Common Factor Method

Greatest Common Factor of 535,4194 By Matching Biggest Common Factor Method

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Factors of 4194

List of positive integer factors of 4194 that divides 4194 without a remainder.

1,2,3,6,9,18,233,466,699,1398,2097,4194

Greatest Common Factor

We found the factors 535,4194 . The biggest common factor number is the GCF number.
So the greatest common factor 535,4194 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 273/535, 6027/4194

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 273/535, 6027/4194?

Answer: LCM of Numerators as per given numbers 273/535, 6027/4194 is

LCM of Numerators i.e. for 273,6027 is 78351

GCF of denominators i.e. for 535,4194 is 1.

Thus, LCM of Fractions is 78351.Finally, LCM of Fractions for 273/535, 6027/4194 is 78351.