Least Common Multiple of 345/831, 6939/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 345/831, 6939/589 quickly i.e. 797985 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 345/831, 6939/589 is 797985.

LCM(345/831, 6939/589) = 797985

LCM of 345/831, 6939/589

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 345/831,6939/589

Given numbers are 345/831,6939/589

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 345,6939

Least Common Multiple of Numerators i.e. LCM of 345,6939 is 797985.

GCF of Denominators means GCF of 831,589 as per the given fractions.

GCF of 831,589 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 345,6939

LCM of Fractions 345/831,6939/589 is 797985

3 345, 6939
115, 2313

∴ So the LCM of the given numbers is 3 x 115 x 2313 = 797985

Least Common Multiple of 345,6939 with GCF Formula

Least Common Multiple of 345,6939 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 345,6939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,6939) = 3

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

GCF(345,6939) x common factors =3 x 1 = 3

LCM(345,6939) = ( 345 × 6939 ) / 3

LCM(345,6939) = 2393955 / 3

LCM(345,6939) = 797985


Lets's calculate GCF of 831,589

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 797985/1

Therefore the LCM of Fractions 345/831,6939/589 is 797985

Greatest Common Factor of 831,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 831,589 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 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors 831,589 . The biggest common factor number is the GCF number.
So the greatest common factor 831,589 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 345/831, 6939/589

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 345/831, 6939/589?

Answer: LCM of Numerators as per given numbers 345/831, 6939/589 is

LCM of Numerators i.e. for 345,6939 is 797985

GCF of denominators i.e. for 831,589 is 1.

Thus, LCM of Fractions is 797985.Finally, LCM of Fractions for 345/831, 6939/589 is 797985.