Least Common Multiple of 7812/434, 8847/558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7812/434, 8847/558 quickly i.e. 123858 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7812/434, 8847/558 is 123858.

LCM(7812/434, 8847/558) = 123858

LCM of 7812/434, 8847/558

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 7812/434,8847/558

Given numbers are 7812/434,8847/558

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 7812,8847

Least Common Multiple of Numerators i.e. LCM of 7812,8847 is 7679196.

GCF of Denominators means GCF of 434,558 as per the given fractions.

GCF of 434,558 is 62 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7812,8847

LCM of Fractions 7812/434,8847/558 is 123858

3 7812, 8847
3 2604, 2949
868, 983

∴ So the LCM of the given numbers is 3 x 3 x 868 x 983 = 7679196

Least Common Multiple of 7812,8847 with GCF Formula

Least Common Multiple of 7812,8847 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 7812,8847 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7812,8847) = 9

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

GCF(7812,8847) x common factors =9 x 1 = 9

LCM(7812,8847) = ( 7812 × 8847 ) / 9

LCM(7812,8847) = 69112764 / 9

LCM(7812,8847) = 7679196


Lets's calculate GCF of 434,558

2 434, 558
31 217, 279
7, 9

∴ So the GCF of the given numbers is 2 x 31 = 62

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7679196/62

Therefore the LCM of Fractions 7812/434,8847/558 is 123858

Greatest Common Factor of 434,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 434,558 By Matching Biggest Common Factor Method

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 434,558 . The biggest common factor number is the GCF number.
So the greatest common factor 434,558 is 62.


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 7812/434, 8847/558

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 7812/434, 8847/558?

Answer: LCM of Numerators as per given numbers 7812/434, 8847/558 is

LCM of Numerators i.e. for 7812,8847 is 7679196

GCF of denominators i.e. for 434,558 is 62.

Thus, LCM of Fractions is 123858.Finally, LCM of Fractions for 7812/434, 8847/558 is 123858.