Least Common Multiple of 89/686, 797/438, 293/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/686, 797/438, 293/819 quickly i.e. 20783369 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/686, 797/438, 293/819 is 20783369.

LCM(89/686, 797/438, 293/819) = 20783369

LCM of 89/686, 797/438, 293/819

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 89/686,797/438,293/819

Given numbers are 89/686,797/438,293/819

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 89,797,293

Least Common Multiple of Numerators i.e. LCM of 89,797,293 is 20783369.

GCF of Denominators means GCF of 686,438,819 as per the given fractions.

GCF of 686,438,819 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,797,293

LCM of Fractions 89/686,797/438,293/819 is 20783369

Given numbers has no common factors except 1. So, there LCM is their product i.e 20783369

Least Common Multiple of 89,797,293 with GCF Formula

Least Common Multiple of 89,797,293 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 89,797,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,797,293) = 1

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

GCF(89,797,293) x common factors =1 x 1 = 1

LCM(89,797,293) = ( 89 × 797 × 293 ) / 1

LCM(89,797,293) = 20783369 / 1

LCM(89,797,293) = 20783369


Lets's calculate GCF of 686,438,819

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20783369/1

Therefore the LCM of Fractions 89/686,797/438,293/819 is 20783369

Greatest Common Factor of 686,438,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,438,819 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 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors 686,438,819 . The biggest common factor number is the GCF number.
So the greatest common factor 686,438,819 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 89/686, 797/438, 293/819

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 89/686, 797/438, 293/819?

Answer: LCM of Numerators as per given numbers 89/686, 797/438, 293/819 is

LCM of Numerators i.e. for 89,797,293 is 20783369

GCF of denominators i.e. for 686,438,819 is 1.

Thus, LCM of Fractions is 20783369.Finally, LCM of Fractions for 89/686, 797/438, 293/819 is 20783369.