Least Common Multiple of 806/78, 535/6684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 806/78, 535/6684 quickly i.e. 431210/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 806/78, 535/6684 is 431210/6.

LCM(806/78, 535/6684) = 431210/6

LCM of 806/78, 535/6684

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 806/78,535/6684

Given numbers are 806/78,535/6684

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 806,535

Least Common Multiple of Numerators i.e. LCM of 806,535 is 431210.

GCF of Denominators means GCF of 78,6684 as per the given fractions.

GCF of 78,6684 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 806,535

LCM of Fractions 806/78,535/6684 is 431210/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 431210

Least Common Multiple of 806,535 with GCF Formula

Least Common Multiple of 806,535 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 806,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(806,535) = 1

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

GCF(806,535) x common factors =1 x 1 = 1

LCM(806,535) = ( 806 × 535 ) / 1

LCM(806,535) = 431210 / 1

LCM(806,535) = 431210


Lets's calculate GCF of 78,6684

2 78, 6684
3 39, 3342
13, 1114

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 431210/6

Therefore the LCM of Fractions 806/78,535/6684 is 431210/6

Greatest Common Factor of 78,6684 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,6684 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 6684

List of positive integer factors of 6684 that divides 6684 without a remainder.

1,2,3,4,6,12,557,1114,1671,2228,3342,6684

Greatest Common Factor

We found the factors 78,6684 . The biggest common factor number is the GCF number.
So the greatest common factor 78,6684 is 6.


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 806/78, 535/6684

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 806/78, 535/6684?

Answer: LCM of Numerators as per given numbers 806/78, 535/6684 is

LCM of Numerators i.e. for 806,535 is 431210

GCF of denominators i.e. for 78,6684 is 6.

Thus, LCM of Fractions is 431210/6.Finally, LCM of Fractions for 806/78, 535/6684 is 431210/6.