Least Common Multiple of 231/813, 4159/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 231/813, 4159/923 quickly i.e. 960729 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 231/813, 4159/923 is 960729.

LCM(231/813, 4159/923) = 960729

LCM of 231/813, 4159/923

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 231/813,4159/923

Given numbers are 231/813,4159/923

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 231,4159

Least Common Multiple of Numerators i.e. LCM of 231,4159 is 960729.

GCF of Denominators means GCF of 813,923 as per the given fractions.

GCF of 813,923 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 231,4159

LCM of Fractions 231/813,4159/923 is 960729

Given numbers has no common factors except 1. So, there LCM is their product i.e 960729

Least Common Multiple of 231,4159 with GCF Formula

Least Common Multiple of 231,4159 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 231,4159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,4159) = 1

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

GCF(231,4159) x common factors =1 x 1 = 1

LCM(231,4159) = ( 231 × 4159 ) / 1

LCM(231,4159) = 960729 / 1

LCM(231,4159) = 960729


Lets's calculate GCF of 813,923

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 960729/1

Therefore the LCM of Fractions 231/813,4159/923 is 960729

Greatest Common Factor of 813,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 813,923 By Matching Biggest Common Factor Method

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Greatest Common Factor

We found the factors 813,923 . The biggest common factor number is the GCF number.
So the greatest common factor 813,923 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 231/813, 4159/923

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 231/813, 4159/923?

Answer: LCM of Numerators as per given numbers 231/813, 4159/923 is

LCM of Numerators i.e. for 231,4159 is 960729

GCF of denominators i.e. for 813,923 is 1.

Thus, LCM of Fractions is 960729.Finally, LCM of Fractions for 231/813, 4159/923 is 960729.