Least Common Multiple of 6813/849, 1799/7591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6813/849, 1799/7591 quickly i.e. 12256587 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6813/849, 1799/7591 is 12256587.

LCM(6813/849, 1799/7591) = 12256587

LCM of 6813/849, 1799/7591

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 6813/849,1799/7591

Given numbers are 6813/849,1799/7591

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 6813,1799

Least Common Multiple of Numerators i.e. LCM of 6813,1799 is 12256587.

GCF of Denominators means GCF of 849,7591 as per the given fractions.

GCF of 849,7591 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6813,1799

LCM of Fractions 6813/849,1799/7591 is 12256587

Given numbers has no common factors except 1. So, there LCM is their product i.e 12256587

Least Common Multiple of 6813,1799 with GCF Formula

Least Common Multiple of 6813,1799 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 6813,1799 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6813,1799) = 1

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

GCF(6813,1799) x common factors =1 x 1 = 1

LCM(6813,1799) = ( 6813 × 1799 ) / 1

LCM(6813,1799) = 12256587 / 1

LCM(6813,1799) = 12256587


Lets's calculate GCF of 849,7591

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12256587/1

Therefore the LCM of Fractions 6813/849,1799/7591 is 12256587

Greatest Common Factor of 849,7591 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,7591 By Matching Biggest Common Factor Method

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 7591

List of positive integer factors of 7591 that divides 7591 without a remainder.

1,7591

Greatest Common Factor

We found the factors 849,7591 . The biggest common factor number is the GCF number.
So the greatest common factor 849,7591 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 6813/849, 1799/7591

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 6813/849, 1799/7591?

Answer: LCM of Numerators as per given numbers 6813/849, 1799/7591 is

LCM of Numerators i.e. for 6813,1799 is 12256587

GCF of denominators i.e. for 849,7591 is 1.

Thus, LCM of Fractions is 12256587.Finally, LCM of Fractions for 6813/849, 1799/7591 is 12256587.