Least Common Multiple of 273/91, 5249/693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 273/91, 5249/693 quickly i.e. 204711 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 273/91, 5249/693 is 204711.

LCM(273/91, 5249/693) = 204711

LCM of 273/91, 5249/693

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 273/91,5249/693

Given numbers are 273/91,5249/693

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 273,5249

Least Common Multiple of Numerators i.e. LCM of 273,5249 is 1432977.

GCF of Denominators means GCF of 91,693 as per the given fractions.

GCF of 91,693 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 273,5249

LCM of Fractions 273/91,5249/693 is 204711

Given numbers has no common factors except 1. So, there LCM is their product i.e 1432977

Least Common Multiple of 273,5249 with GCF Formula

Least Common Multiple of 273,5249 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 273,5249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(273,5249) = 1

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

GCF(273,5249) x common factors =1 x 1 = 1

LCM(273,5249) = ( 273 × 5249 ) / 1

LCM(273,5249) = 1432977 / 1

LCM(273,5249) = 1432977


Lets's calculate GCF of 91,693

7 91, 693
13, 99

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1432977/7

Therefore the LCM of Fractions 273/91,5249/693 is 204711

Greatest Common Factor of 91,693 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,693 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Greatest Common Factor

We found the factors 91,693 . The biggest common factor number is the GCF number.
So the greatest common factor 91,693 is 7.


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 273/91, 5249/693

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 273/91, 5249/693?

Answer: LCM of Numerators as per given numbers 273/91, 5249/693 is

LCM of Numerators i.e. for 273,5249 is 1432977

GCF of denominators i.e. for 91,693 is 7.

Thus, LCM of Fractions is 204711.Finally, LCM of Fractions for 273/91, 5249/693 is 204711.