Least Common Multiple of 81/686, 7818/2308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/686, 7818/2308 quickly i.e. 105543 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/686, 7818/2308 is 105543.

LCM(81/686, 7818/2308) = 105543

LCM of 81/686, 7818/2308

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 81/686,7818/2308

Given numbers are 81/686,7818/2308

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 81,7818

Least Common Multiple of Numerators i.e. LCM of 81,7818 is 211086.

GCF of Denominators means GCF of 686,2308 as per the given fractions.

GCF of 686,2308 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,7818

LCM of Fractions 81/686,7818/2308 is 105543

3 81, 7818
27, 2606

∴ So the LCM of the given numbers is 3 x 27 x 2606 = 211086

Least Common Multiple of 81,7818 with GCF Formula

Least Common Multiple of 81,7818 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 81,7818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,7818) = 3

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

GCF(81,7818) x common factors =3 x 1 = 3

LCM(81,7818) = ( 81 × 7818 ) / 3

LCM(81,7818) = 633258 / 3

LCM(81,7818) = 211086


Lets's calculate GCF of 686,2308

2 686, 2308
343, 1154

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 211086/2

Therefore the LCM of Fractions 81/686,7818/2308 is 105543

Greatest Common Factor of 686,2308 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,2308 By Matching Biggest Common Factor Method

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 2308

List of positive integer factors of 2308 that divides 2308 without a remainder.

1,2,4,577,1154,2308

Greatest Common Factor

We found the factors 686,2308 . The biggest common factor number is the GCF number.
So the greatest common factor 686,2308 is 2.


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 81/686, 7818/2308

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 81/686, 7818/2308?

Answer: LCM of Numerators as per given numbers 81/686, 7818/2308 is

LCM of Numerators i.e. for 81,7818 is 211086

GCF of denominators i.e. for 686,2308 is 2.

Thus, LCM of Fractions is 105543.Finally, LCM of Fractions for 81/686, 7818/2308 is 105543.