Least Common Multiple of 78/831, 31/501, 859/329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/831, 31/501, 859/329 quickly i.e. 2077062 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/831, 31/501, 859/329 is 2077062.

LCM(78/831, 31/501, 859/329) = 2077062

LCM of 78/831, 31/501, 859/329

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 78/831,31/501,859/329

Given numbers are 78/831,31/501,859/329

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 78,31,859

Least Common Multiple of Numerators i.e. LCM of 78,31,859 is 2077062.

GCF of Denominators means GCF of 831,501,329 as per the given fractions.

GCF of 831,501,329 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,31,859

LCM of Fractions 78/831,31/501,859/329 is 2077062

Given numbers has no common factors except 1. So, there LCM is their product i.e 2077062

Least Common Multiple of 78,31,859 with GCF Formula

Least Common Multiple of 78,31,859 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 78,31,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,31,859) = 1

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

GCF(78,31,859) x common factors =1 x 1 = 1

LCM(78,31,859) = ( 78 × 31 × 859 ) / 1

LCM(78,31,859) = 2077062 / 1

LCM(78,31,859) = 2077062


Lets's calculate GCF of 831,501,329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2077062/1

Therefore the LCM of Fractions 78/831,31/501,859/329 is 2077062

Greatest Common Factor of 831,501,329 By Matching Biggest Common Factor Method

Greatest Common Factor of 831,501,329 By Matching Biggest Common Factor Method

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Greatest Common Factor

We found the factors 831,501,329 . The biggest common factor number is the GCF number.
So the greatest common factor 831,501,329 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 78/831, 31/501, 859/329

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 78/831, 31/501, 859/329?

Answer: LCM of Numerators as per given numbers 78/831, 31/501, 859/329 is

LCM of Numerators i.e. for 78,31,859 is 2077062

GCF of denominators i.e. for 831,501,329 is 1.

Thus, LCM of Fractions is 2077062.Finally, LCM of Fractions for 78/831, 31/501, 859/329 is 2077062.