Least Common Multiple of 6786/792, 6163/3434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6786/792, 6163/3434 quickly i.e. 20911059 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6786/792, 6163/3434 is 20911059.

LCM(6786/792, 6163/3434) = 20911059

LCM of 6786/792, 6163/3434

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 6786/792,6163/3434

Given numbers are 6786/792,6163/3434

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 6786,6163

Least Common Multiple of Numerators i.e. LCM of 6786,6163 is 41822118.

GCF of Denominators means GCF of 792,3434 as per the given fractions.

GCF of 792,3434 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6786,6163

LCM of Fractions 6786/792,6163/3434 is 20911059

Given numbers has no common factors except 1. So, there LCM is their product i.e 41822118

Least Common Multiple of 6786,6163 with GCF Formula

Least Common Multiple of 6786,6163 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 6786,6163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6786,6163) = 1

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

GCF(6786,6163) x common factors =1 x 1 = 1

LCM(6786,6163) = ( 6786 × 6163 ) / 1

LCM(6786,6163) = 41822118 / 1

LCM(6786,6163) = 41822118


Lets's calculate GCF of 792,3434

2 792, 3434
396, 1717

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41822118/2

Therefore the LCM of Fractions 6786/792,6163/3434 is 20911059

Greatest Common Factor of 792,3434 By Matching Biggest Common Factor Method

Greatest Common Factor of 792,3434 By Matching Biggest Common Factor Method

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 3434

List of positive integer factors of 3434 that divides 3434 without a remainder.

1,2,17,34,101,202,1717,3434

Greatest Common Factor

We found the factors 792,3434 . The biggest common factor number is the GCF number.
So the greatest common factor 792,3434 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 6786/792, 6163/3434

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 6786/792, 6163/3434?

Answer: LCM of Numerators as per given numbers 6786/792, 6163/3434 is

LCM of Numerators i.e. for 6786,6163 is 41822118

GCF of denominators i.e. for 792,3434 is 2.

Thus, LCM of Fractions is 20911059.Finally, LCM of Fractions for 6786/792, 6163/3434 is 20911059.