Least Common Multiple of 31/558, 7822/5193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/558, 7822/5193 quickly i.e. 242482/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/558, 7822/5193 is 242482/9.

LCM(31/558, 7822/5193) = 242482/9

LCM of 31/558, 7822/5193

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 31/558,7822/5193

Given numbers are 31/558,7822/5193

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 31,7822

Least Common Multiple of Numerators i.e. LCM of 31,7822 is 242482.

GCF of Denominators means GCF of 558,5193 as per the given fractions.

GCF of 558,5193 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,7822

LCM of Fractions 31/558,7822/5193 is 242482/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 242482

Least Common Multiple of 31,7822 with GCF Formula

Least Common Multiple of 31,7822 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 31,7822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,7822) = 1

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

GCF(31,7822) x common factors =1 x 1 = 1

LCM(31,7822) = ( 31 × 7822 ) / 1

LCM(31,7822) = 242482 / 1

LCM(31,7822) = 242482


Lets's calculate GCF of 558,5193

3 558, 5193
3 186, 1731
62, 577

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 242482/9

Therefore the LCM of Fractions 31/558,7822/5193 is 242482/9

Greatest Common Factor of 558,5193 By Matching Biggest Common Factor Method

Greatest Common Factor of 558,5193 By Matching Biggest Common Factor Method

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

Factors of 5193

List of positive integer factors of 5193 that divides 5193 without a remainder.

1,3,9,577,1731,5193

Greatest Common Factor

We found the factors 558,5193 . The biggest common factor number is the GCF number.
So the greatest common factor 558,5193 is 9.


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 31/558, 7822/5193

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 31/558, 7822/5193?

Answer: LCM of Numerators as per given numbers 31/558, 7822/5193 is

LCM of Numerators i.e. for 31,7822 is 242482

GCF of denominators i.e. for 558,5193 is 9.

Thus, LCM of Fractions is 242482/9.Finally, LCM of Fractions for 31/558, 7822/5193 is 242482/9.