Least Common Multiple of 273/233, 8297/5715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 273/233, 8297/5715 quickly i.e. 2265081 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 273/233, 8297/5715 is 2265081.

LCM(273/233, 8297/5715) = 2265081

LCM of 273/233, 8297/5715

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 273/233,8297/5715

Given numbers are 273/233,8297/5715

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 273,8297

Least Common Multiple of Numerators i.e. LCM of 273,8297 is 2265081.

GCF of Denominators means GCF of 233,5715 as per the given fractions.

GCF of 233,5715 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 273,8297

LCM of Fractions 273/233,8297/5715 is 2265081

Given numbers has no common factors except 1. So, there LCM is their product i.e 2265081

Least Common Multiple of 273,8297 with GCF Formula

Least Common Multiple of 273,8297 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 273,8297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(273,8297) = 1

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

GCF(273,8297) x common factors =1 x 1 = 1

LCM(273,8297) = ( 273 × 8297 ) / 1

LCM(273,8297) = 2265081 / 1

LCM(273,8297) = 2265081


Lets's calculate GCF of 233,5715

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2265081/1

Therefore the LCM of Fractions 273/233,8297/5715 is 2265081

Greatest Common Factor of 233,5715 By Matching Biggest Common Factor Method

Greatest Common Factor of 233,5715 By Matching Biggest Common Factor Method

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Factors of 5715

List of positive integer factors of 5715 that divides 5715 without a remainder.

1,3,5,9,15,45,127,381,635,1143,1905,5715

Greatest Common Factor

We found the factors 233,5715 . The biggest common factor number is the GCF number.
So the greatest common factor 233,5715 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 273/233, 8297/5715

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 273/233, 8297/5715?

Answer: LCM of Numerators as per given numbers 273/233, 8297/5715 is

LCM of Numerators i.e. for 273,8297 is 2265081

GCF of denominators i.e. for 233,5715 is 1.

Thus, LCM of Fractions is 2265081.Finally, LCM of Fractions for 273/233, 8297/5715 is 2265081.