Least Common Multiple of 682/64, 539/89, 943/171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 682/64, 539/89, 943/171 quickly i.e. 31513174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 682/64, 539/89, 943/171 is 31513174.

LCM(682/64, 539/89, 943/171) = 31513174

LCM of 682/64, 539/89, 943/171

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 682/64,539/89,943/171

Given numbers are 682/64,539/89,943/171

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 682,539,943

Least Common Multiple of Numerators i.e. LCM of 682,539,943 is 31513174.

GCF of Denominators means GCF of 64,89,171 as per the given fractions.

GCF of 64,89,171 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 682,539,943

LCM of Fractions 682/64,539/89,943/171 is 31513174

11 682, 539, 943
62, 49, 943

∴ So the LCM of the given numbers is 11 x 62 x 49 x 943 = 31513174

Least Common Multiple of 682,539,943 with GCF Formula

Least Common Multiple of 682,539,943 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 682,539,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,539,943) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(682,539,943) x common factors =1 x 11 = 11

LCM(682,539,943) = ( 682 × 539 × 943 ) / 11

LCM(682,539,943) = 346644914 / 11

LCM(682,539,943) = 31513174


Lets's calculate GCF of 64,89,171

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31513174/1

Therefore the LCM of Fractions 682/64,539/89,943/171 is 31513174

Greatest Common Factor of 64,89,171 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,89,171 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Greatest Common Factor

We found the factors 64,89,171 . The biggest common factor number is the GCF number.
So the greatest common factor 64,89,171 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 682/64, 539/89, 943/171

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 682/64, 539/89, 943/171?

Answer: LCM of Numerators as per given numbers 682/64, 539/89, 943/171 is

LCM of Numerators i.e. for 682,539,943 is 31513174

GCF of denominators i.e. for 64,89,171 is 1.

Thus, LCM of Fractions is 31513174.Finally, LCM of Fractions for 682/64, 539/89, 943/171 is 31513174.