Least Common Multiple of 6782/442, 4087/391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6782/442, 4087/391 quickly i.e. 27718034/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6782/442, 4087/391 is 27718034/17.

LCM(6782/442, 4087/391) = 27718034/17

LCM of 6782/442, 4087/391

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 6782/442,4087/391

Given numbers are 6782/442,4087/391

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 6782,4087

Least Common Multiple of Numerators i.e. LCM of 6782,4087 is 27718034.

GCF of Denominators means GCF of 442,391 as per the given fractions.

GCF of 442,391 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6782,4087

LCM of Fractions 6782/442,4087/391 is 27718034/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 27718034

Least Common Multiple of 6782,4087 with GCF Formula

Least Common Multiple of 6782,4087 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 6782,4087 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6782,4087) = 1

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

GCF(6782,4087) x common factors =1 x 1 = 1

LCM(6782,4087) = ( 6782 × 4087 ) / 1

LCM(6782,4087) = 27718034 / 1

LCM(6782,4087) = 27718034


Lets's calculate GCF of 442,391

17 442, 391
26, 23

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27718034/17

Therefore the LCM of Fractions 6782/442,4087/391 is 27718034/17

Greatest Common Factor of 442,391 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,391 By Matching Biggest Common Factor Method

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

Greatest Common Factor

We found the factors 442,391 . The biggest common factor number is the GCF number.
So the greatest common factor 442,391 is 17.


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 6782/442, 4087/391

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 6782/442, 4087/391?

Answer: LCM of Numerators as per given numbers 6782/442, 4087/391 is

LCM of Numerators i.e. for 6782,4087 is 27718034

GCF of denominators i.e. for 442,391 is 17.

Thus, LCM of Fractions is 27718034/17.Finally, LCM of Fractions for 6782/442, 4087/391 is 27718034/17.