Least Common Multiple of 191/627, 339/105, 687/343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 191/627, 339/105, 687/343 quickly i.e. 14827521 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 191/627, 339/105, 687/343 is 14827521.

LCM(191/627, 339/105, 687/343) = 14827521

LCM of 191/627, 339/105, 687/343

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 191/627,339/105,687/343

Given numbers are 191/627,339/105,687/343

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 191,339,687

Least Common Multiple of Numerators i.e. LCM of 191,339,687 is 14827521.

GCF of Denominators means GCF of 627,105,343 as per the given fractions.

GCF of 627,105,343 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 191,339,687

LCM of Fractions 191/627,339/105,687/343 is 14827521

3 191, 339, 687
191, 113, 229

∴ So the LCM of the given numbers is 3 x 191 x 113 x 229 = 14827521

Least Common Multiple of 191,339,687 with GCF Formula

Least Common Multiple of 191,339,687 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 191,339,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(191,339,687) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(191,339,687) x common factors =1 x 3 = 3

LCM(191,339,687) = ( 191 × 339 × 687 ) / 3

LCM(191,339,687) = 44482563 / 3

LCM(191,339,687) = 14827521


Lets's calculate GCF of 627,105,343

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14827521/1

Therefore the LCM of Fractions 191/627,339/105,687/343 is 14827521

Greatest Common Factor of 627,105,343 By Matching Biggest Common Factor Method

Greatest Common Factor of 627,105,343 By Matching Biggest Common Factor Method

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Greatest Common Factor

We found the factors 627,105,343 . The biggest common factor number is the GCF number.
So the greatest common factor 627,105,343 is 1.


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 191/627, 339/105, 687/343

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 191/627, 339/105, 687/343?

Answer: LCM of Numerators as per given numbers 191/627, 339/105, 687/343 is

LCM of Numerators i.e. for 191,339,687 is 14827521

GCF of denominators i.e. for 627,105,343 is 1.

Thus, LCM of Fractions is 14827521.Finally, LCM of Fractions for 191/627, 339/105, 687/343 is 14827521.