Least Common Multiple of 3202/838, 6333/7696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3202/838, 6333/7696 quickly i.e. 10139133 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3202/838, 6333/7696 is 10139133.

LCM(3202/838, 6333/7696) = 10139133

LCM of 3202/838, 6333/7696

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 3202/838,6333/7696

Given numbers are 3202/838,6333/7696

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 3202,6333

Least Common Multiple of Numerators i.e. LCM of 3202,6333 is 20278266.

GCF of Denominators means GCF of 838,7696 as per the given fractions.

GCF of 838,7696 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3202,6333

LCM of Fractions 3202/838,6333/7696 is 10139133

Given numbers has no common factors except 1. So, there LCM is their product i.e 20278266

Least Common Multiple of 3202,6333 with GCF Formula

Least Common Multiple of 3202,6333 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 3202,6333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3202,6333) = 1

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

GCF(3202,6333) x common factors =1 x 1 = 1

LCM(3202,6333) = ( 3202 × 6333 ) / 1

LCM(3202,6333) = 20278266 / 1

LCM(3202,6333) = 20278266


Lets's calculate GCF of 838,7696

2 838, 7696
419, 3848

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20278266/2

Therefore the LCM of Fractions 3202/838,6333/7696 is 10139133

Greatest Common Factor of 838,7696 By Matching Biggest Common Factor Method

Greatest Common Factor of 838,7696 By Matching Biggest Common Factor Method

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 7696

List of positive integer factors of 7696 that divides 7696 without a remainder.

1,2,4,8,13,16,26,37,52,74,104,148,208,296,481,592,962,1924,3848,7696

Greatest Common Factor

We found the factors 838,7696 . The biggest common factor number is the GCF number.
So the greatest common factor 838,7696 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 3202/838, 6333/7696

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 3202/838, 6333/7696?

Answer: LCM of Numerators as per given numbers 3202/838, 6333/7696 is

LCM of Numerators i.e. for 3202,6333 is 20278266

GCF of denominators i.e. for 838,7696 is 2.

Thus, LCM of Fractions is 10139133.Finally, LCM of Fractions for 3202/838, 6333/7696 is 10139133.