Least Common Multiple of 532/431, 3158/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 532/431, 3158/867 quickly i.e. 840028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 532/431, 3158/867 is 840028.

LCM(532/431, 3158/867) = 840028

LCM of 532/431, 3158/867

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 532/431,3158/867

Given numbers are 532/431,3158/867

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 532,3158

Least Common Multiple of Numerators i.e. LCM of 532,3158 is 840028.

GCF of Denominators means GCF of 431,867 as per the given fractions.

GCF of 431,867 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 532,3158

LCM of Fractions 532/431,3158/867 is 840028

2 532, 3158
266, 1579

∴ So the LCM of the given numbers is 2 x 266 x 1579 = 840028

Least Common Multiple of 532,3158 with GCF Formula

Least Common Multiple of 532,3158 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 532,3158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,3158) = 2

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

GCF(532,3158) x common factors =2 x 1 = 2

LCM(532,3158) = ( 532 × 3158 ) / 2

LCM(532,3158) = 1680056 / 2

LCM(532,3158) = 840028


Lets's calculate GCF of 431,867

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 840028/1

Therefore the LCM of Fractions 532/431,3158/867 is 840028

Greatest Common Factor of 431,867 By Matching Biggest Common Factor Method

Greatest Common Factor of 431,867 By Matching Biggest Common Factor Method

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Greatest Common Factor

We found the factors 431,867 . The biggest common factor number is the GCF number.
So the greatest common factor 431,867 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 532/431, 3158/867

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 532/431, 3158/867?

Answer: LCM of Numerators as per given numbers 532/431, 3158/867 is

LCM of Numerators i.e. for 532,3158 is 840028

GCF of denominators i.e. for 431,867 is 1.

Thus, LCM of Fractions is 840028.Finally, LCM of Fractions for 532/431, 3158/867 is 840028.