Least Common Multiple of 49/843, 683/813, 636/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/843, 683/813, 636/729 quickly i.e. 7095004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/843, 683/813, 636/729 is 7095004.

LCM(49/843, 683/813, 636/729) = 7095004

LCM of 49/843, 683/813, 636/729

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 49/843,683/813,636/729

Given numbers are 49/843,683/813,636/729

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 49,683,636

Least Common Multiple of Numerators i.e. LCM of 49,683,636 is 21285012.

GCF of Denominators means GCF of 843,813,729 as per the given fractions.

GCF of 843,813,729 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,683,636

LCM of Fractions 49/843,683/813,636/729 is 7095004

Given numbers has no common factors except 1. So, there LCM is their product i.e 21285012

Least Common Multiple of 49,683,636 with GCF Formula

Least Common Multiple of 49,683,636 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 49,683,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,683,636) = 1

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

GCF(49,683,636) x common factors =1 x 1 = 1

LCM(49,683,636) = ( 49 × 683 × 636 ) / 1

LCM(49,683,636) = 21285012 / 1

LCM(49,683,636) = 21285012


Lets's calculate GCF of 843,813,729

3 843, 813, 729
281, 271, 243

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21285012/3

Therefore the LCM of Fractions 49/843,683/813,636/729 is 7095004

Greatest Common Factor of 843,813,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 843,813,729 By Matching Biggest Common Factor Method

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Greatest Common Factor

We found the factors 843,813,729 . The biggest common factor number is the GCF number.
So the greatest common factor 843,813,729 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 49/843, 683/813, 636/729

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 49/843, 683/813, 636/729?

Answer: LCM of Numerators as per given numbers 49/843, 683/813, 636/729 is

LCM of Numerators i.e. for 49,683,636 is 21285012

GCF of denominators i.e. for 843,813,729 is 3.

Thus, LCM of Fractions is 7095004.Finally, LCM of Fractions for 49/843, 683/813, 636/729 is 7095004.