Least Common Multiple of 981/797, 175/135, 847/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 981/797, 175/135, 847/565 quickly i.e. 20772675 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 981/797, 175/135, 847/565 is 20772675.

LCM(981/797, 175/135, 847/565) = 20772675

LCM of 981/797, 175/135, 847/565

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 981/797,175/135,847/565

Given numbers are 981/797,175/135,847/565

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 981,175,847

Least Common Multiple of Numerators i.e. LCM of 981,175,847 is 20772675.

GCF of Denominators means GCF of 797,135,565 as per the given fractions.

GCF of 797,135,565 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 981,175,847

LCM of Fractions 981/797,175/135,847/565 is 20772675

7 981, 175, 847
981, 25, 121

∴ So the LCM of the given numbers is 7 x 981 x 25 x 121 = 20772675

Least Common Multiple of 981,175,847 with GCF Formula

Least Common Multiple of 981,175,847 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 981,175,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(981,175,847) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(981,175,847) x common factors =1 x 7 = 7

LCM(981,175,847) = ( 981 × 175 × 847 ) / 7

LCM(981,175,847) = 145408725 / 7

LCM(981,175,847) = 20772675


Lets's calculate GCF of 797,135,565

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20772675/1

Therefore the LCM of Fractions 981/797,175/135,847/565 is 20772675

Greatest Common Factor of 797,135,565 By Matching Biggest Common Factor Method

Greatest Common Factor of 797,135,565 By Matching Biggest Common Factor Method

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Greatest Common Factor

We found the factors 797,135,565 . The biggest common factor number is the GCF number.
So the greatest common factor 797,135,565 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 981/797, 175/135, 847/565

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 981/797, 175/135, 847/565?

Answer: LCM of Numerators as per given numbers 981/797, 175/135, 847/565 is

LCM of Numerators i.e. for 981,175,847 is 20772675

GCF of denominators i.e. for 797,135,565 is 1.

Thus, LCM of Fractions is 20772675.Finally, LCM of Fractions for 981/797, 175/135, 847/565 is 20772675.