Least Common Multiple of 727/981, 823/879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 727/981, 823/879 quickly i.e. 598321/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 727/981, 823/879 is 598321/3.

LCM(727/981, 823/879) = 598321/3

LCM of 727/981, 823/879

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 727/981,823/879

Given numbers are 727/981,823/879

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 727,823

Least Common Multiple of Numerators i.e. LCM of 727,823 is 598321.

GCF of Denominators means GCF of 981,879 as per the given fractions.

GCF of 981,879 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 727,823

LCM of Fractions 727/981,823/879 is 598321/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 598321

Least Common Multiple of 727,823 with GCF Formula

Least Common Multiple of 727,823 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 727,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(727,823) = 1

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

GCF(727,823) x common factors =1 x 1 = 1

LCM(727,823) = ( 727 × 823 ) / 1

LCM(727,823) = 598321 / 1

LCM(727,823) = 598321


Lets's calculate GCF of 981,879

3 981, 879
327, 293

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 598321/3

Therefore the LCM of Fractions 727/981,823/879 is 598321/3

Greatest Common Factor of 981,879 By Matching Biggest Common Factor Method

Greatest Common Factor of 981,879 By Matching Biggest Common Factor Method

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Greatest Common Factor

We found the factors 981,879 . The biggest common factor number is the GCF number.
So the greatest common factor 981,879 is 3.


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 727/981, 823/879

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 727/981, 823/879?

Answer: LCM of Numerators as per given numbers 727/981, 823/879 is

LCM of Numerators i.e. for 727,823 is 598321

GCF of denominators i.e. for 981,879 is 3.

Thus, LCM of Fractions is 598321/3.Finally, LCM of Fractions for 727/981, 823/879 is 598321/3.