Least Common Multiple of 691/412, 5484/7866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 691/412, 5484/7866 quickly i.e. 1894722 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 691/412, 5484/7866 is 1894722.

LCM(691/412, 5484/7866) = 1894722

LCM of 691/412, 5484/7866

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 691/412,5484/7866

Given numbers are 691/412,5484/7866

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 691,5484

Least Common Multiple of Numerators i.e. LCM of 691,5484 is 3789444.

GCF of Denominators means GCF of 412,7866 as per the given fractions.

GCF of 412,7866 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 691,5484

LCM of Fractions 691/412,5484/7866 is 1894722

Given numbers has no common factors except 1. So, there LCM is their product i.e 3789444

Least Common Multiple of 691,5484 with GCF Formula

Least Common Multiple of 691,5484 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 691,5484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(691,5484) = 1

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

GCF(691,5484) x common factors =1 x 1 = 1

LCM(691,5484) = ( 691 × 5484 ) / 1

LCM(691,5484) = 3789444 / 1

LCM(691,5484) = 3789444


Lets's calculate GCF of 412,7866

2 412, 7866
206, 3933

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3789444/2

Therefore the LCM of Fractions 691/412,5484/7866 is 1894722

Greatest Common Factor of 412,7866 By Matching Biggest Common Factor Method

Greatest Common Factor of 412,7866 By Matching Biggest Common Factor Method

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Factors of 7866

List of positive integer factors of 7866 that divides 7866 without a remainder.

1,2,3,6,9,18,19,23,38,46,57,69,114,138,171,207,342,414,437,874,1311,2622,3933,7866

Greatest Common Factor

We found the factors 412,7866 . The biggest common factor number is the GCF number.
So the greatest common factor 412,7866 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 691/412, 5484/7866

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 691/412, 5484/7866?

Answer: LCM of Numerators as per given numbers 691/412, 5484/7866 is

LCM of Numerators i.e. for 691,5484 is 3789444

GCF of denominators i.e. for 412,7866 is 2.

Thus, LCM of Fractions is 1894722.Finally, LCM of Fractions for 691/412, 5484/7866 is 1894722.