Least Common Multiple of 431/813, 5142/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 431/813, 5142/882 quickly i.e. 738734 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 431/813, 5142/882 is 738734.

LCM(431/813, 5142/882) = 738734

LCM of 431/813, 5142/882

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 431/813,5142/882

Given numbers are 431/813,5142/882

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 431,5142

Least Common Multiple of Numerators i.e. LCM of 431,5142 is 2216202.

GCF of Denominators means GCF of 813,882 as per the given fractions.

GCF of 813,882 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 431,5142

LCM of Fractions 431/813,5142/882 is 738734

Given numbers has no common factors except 1. So, there LCM is their product i.e 2216202

Least Common Multiple of 431,5142 with GCF Formula

Least Common Multiple of 431,5142 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 431,5142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(431,5142) = 1

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

GCF(431,5142) x common factors =1 x 1 = 1

LCM(431,5142) = ( 431 × 5142 ) / 1

LCM(431,5142) = 2216202 / 1

LCM(431,5142) = 2216202


Lets's calculate GCF of 813,882

3 813, 882
271, 294

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2216202/3

Therefore the LCM of Fractions 431/813,5142/882 is 738734

Greatest Common Factor of 813,882 By Matching Biggest Common Factor Method

Greatest Common Factor of 813,882 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 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors 813,882 . The biggest common factor number is the GCF number.
So the greatest common factor 813,882 is 3.


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 431/813, 5142/882

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 431/813, 5142/882?

Answer: LCM of Numerators as per given numbers 431/813, 5142/882 is

LCM of Numerators i.e. for 431,5142 is 2216202

GCF of denominators i.e. for 813,882 is 3.

Thus, LCM of Fractions is 738734.Finally, LCM of Fractions for 431/813, 5142/882 is 738734.