Least Common Multiple of 6683/784, 8893/5822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6683/784, 8893/5822 quickly i.e. 59431919/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6683/784, 8893/5822 is 59431919/2.

LCM(6683/784, 8893/5822) = 59431919/2

LCM of 6683/784, 8893/5822

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 6683/784,8893/5822

Given numbers are 6683/784,8893/5822

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 6683,8893

Least Common Multiple of Numerators i.e. LCM of 6683,8893 is 59431919.

GCF of Denominators means GCF of 784,5822 as per the given fractions.

GCF of 784,5822 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6683,8893

LCM of Fractions 6683/784,8893/5822 is 59431919/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 59431919

Least Common Multiple of 6683,8893 with GCF Formula

Least Common Multiple of 6683,8893 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 6683,8893 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6683,8893) = 1

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

GCF(6683,8893) x common factors =1 x 1 = 1

LCM(6683,8893) = ( 6683 × 8893 ) / 1

LCM(6683,8893) = 59431919 / 1

LCM(6683,8893) = 59431919


Lets's calculate GCF of 784,5822

2 784, 5822
392, 2911

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59431919/2

Therefore the LCM of Fractions 6683/784,8893/5822 is 59431919/2

Greatest Common Factor of 784,5822 By Matching Biggest Common Factor Method

Greatest Common Factor of 784,5822 By Matching Biggest Common Factor Method

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 5822

List of positive integer factors of 5822 that divides 5822 without a remainder.

1,2,41,71,82,142,2911,5822

Greatest Common Factor

We found the factors 784,5822 . The biggest common factor number is the GCF number.
So the greatest common factor 784,5822 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 6683/784, 8893/5822

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 6683/784, 8893/5822?

Answer: LCM of Numerators as per given numbers 6683/784, 8893/5822 is

LCM of Numerators i.e. for 6683,8893 is 59431919

GCF of denominators i.e. for 784,5822 is 2.

Thus, LCM of Fractions is 59431919/2.Finally, LCM of Fractions for 6683/784, 8893/5822 is 59431919/2.