Least Common Multiple of 8141/813, 5845/1712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8141/813, 5845/1712 quickly i.e. 6797735 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8141/813, 5845/1712 is 6797735.

LCM(8141/813, 5845/1712) = 6797735

LCM of 8141/813, 5845/1712

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 8141/813,5845/1712

Given numbers are 8141/813,5845/1712

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 8141,5845

Least Common Multiple of Numerators i.e. LCM of 8141,5845 is 6797735.

GCF of Denominators means GCF of 813,1712 as per the given fractions.

GCF of 813,1712 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8141,5845

LCM of Fractions 8141/813,5845/1712 is 6797735

7 8141, 5845
1163, 835

∴ So the LCM of the given numbers is 7 x 1163 x 835 = 6797735

Least Common Multiple of 8141,5845 with GCF Formula

Least Common Multiple of 8141,5845 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 8141,5845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8141,5845) = 7

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

GCF(8141,5845) x common factors =7 x 1 = 7

LCM(8141,5845) = ( 8141 × 5845 ) / 7

LCM(8141,5845) = 47584145 / 7

LCM(8141,5845) = 6797735


Lets's calculate GCF of 813,1712

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6797735/1

Therefore the LCM of Fractions 8141/813,5845/1712 is 6797735

Greatest Common Factor of 813,1712 By Matching Biggest Common Factor Method

Greatest Common Factor of 813,1712 By Matching Biggest Common Factor Method

Factors of 813

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

1,3,271,813

Factors of 1712

List of positive integer factors of 1712 that divides 1712 without a remainder.

1,2,4,8,16,107,214,428,856,1712

Greatest Common Factor

We found the factors 813,1712 . The biggest common factor number is the GCF number.
So the greatest common factor 813,1712 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 8141/813, 5845/1712

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 8141/813, 5845/1712?

Answer: LCM of Numerators as per given numbers 8141/813, 5845/1712 is

LCM of Numerators i.e. for 8141,5845 is 6797735

GCF of denominators i.e. for 813,1712 is 1.

Thus, LCM of Fractions is 6797735.Finally, LCM of Fractions for 8141/813, 5845/1712 is 6797735.