Least Common Multiple of 6383/836, 3711/5798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6383/836, 3711/5798 quickly i.e. 23687313/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6383/836, 3711/5798 is 23687313/2.

LCM(6383/836, 3711/5798) = 23687313/2

LCM of 6383/836, 3711/5798

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 6383/836,3711/5798

Given numbers are 6383/836,3711/5798

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 6383,3711

Least Common Multiple of Numerators i.e. LCM of 6383,3711 is 23687313.

GCF of Denominators means GCF of 836,5798 as per the given fractions.

GCF of 836,5798 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6383,3711

LCM of Fractions 6383/836,3711/5798 is 23687313/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 23687313

Least Common Multiple of 6383,3711 with GCF Formula

Least Common Multiple of 6383,3711 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 6383,3711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6383,3711) = 1

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

GCF(6383,3711) x common factors =1 x 1 = 1

LCM(6383,3711) = ( 6383 × 3711 ) / 1

LCM(6383,3711) = 23687313 / 1

LCM(6383,3711) = 23687313


Lets's calculate GCF of 836,5798

2 836, 5798
418, 2899

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23687313/2

Therefore the LCM of Fractions 6383/836,3711/5798 is 23687313/2

Greatest Common Factor of 836,5798 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,5798 By Matching Biggest Common Factor Method

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 5798

List of positive integer factors of 5798 that divides 5798 without a remainder.

1,2,13,26,223,446,2899,5798

Greatest Common Factor

We found the factors 836,5798 . The biggest common factor number is the GCF number.
So the greatest common factor 836,5798 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 6383/836, 3711/5798

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 6383/836, 3711/5798?

Answer: LCM of Numerators as per given numbers 6383/836, 3711/5798 is

LCM of Numerators i.e. for 6383,3711 is 23687313

GCF of denominators i.e. for 836,5798 is 2.

Thus, LCM of Fractions is 23687313/2.Finally, LCM of Fractions for 6383/836, 3711/5798 is 23687313/2.