Least Common Multiple of 558/82, 747/4686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 558/82, 747/4686 quickly i.e. 23157 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 558/82, 747/4686 is 23157.

LCM(558/82, 747/4686) = 23157

LCM of 558/82, 747/4686

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 558/82,747/4686

Given numbers are 558/82,747/4686

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 558,747

Least Common Multiple of Numerators i.e. LCM of 558,747 is 46314.

GCF of Denominators means GCF of 82,4686 as per the given fractions.

GCF of 82,4686 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 558,747

LCM of Fractions 558/82,747/4686 is 23157

3 558, 747
3 186, 249
62, 83

∴ So the LCM of the given numbers is 3 x 3 x 62 x 83 = 46314

Least Common Multiple of 558,747 with GCF Formula

Least Common Multiple of 558,747 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 558,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(558,747) = 9

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

GCF(558,747) x common factors =9 x 1 = 9

LCM(558,747) = ( 558 × 747 ) / 9

LCM(558,747) = 416826 / 9

LCM(558,747) = 46314


Lets's calculate GCF of 82,4686

2 82, 4686
41, 2343

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46314/2

Therefore the LCM of Fractions 558/82,747/4686 is 23157

Greatest Common Factor of 82,4686 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,4686 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 4686

List of positive integer factors of 4686 that divides 4686 without a remainder.

1,2,3,6,11,22,33,66,71,142,213,426,781,1562,2343,4686

Greatest Common Factor

We found the factors 82,4686 . The biggest common factor number is the GCF number.
So the greatest common factor 82,4686 is 2.


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 558/82, 747/4686

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 558/82, 747/4686?

Answer: LCM of Numerators as per given numbers 558/82, 747/4686 is

LCM of Numerators i.e. for 558,747 is 46314

GCF of denominators i.e. for 82,4686 is 2.

Thus, LCM of Fractions is 23157.Finally, LCM of Fractions for 558/82, 747/4686 is 23157.