Least Common Multiple of 83/558, 759/609, 839/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/558, 759/609, 839/738 quickly i.e. 17618161 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/558, 759/609, 839/738 is 17618161.

LCM(83/558, 759/609, 839/738) = 17618161

LCM of 83/558, 759/609, 839/738

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 83/558,759/609,839/738

Given numbers are 83/558,759/609,839/738

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 83,759,839

Least Common Multiple of Numerators i.e. LCM of 83,759,839 is 52854483.

GCF of Denominators means GCF of 558,609,738 as per the given fractions.

GCF of 558,609,738 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,759,839

LCM of Fractions 83/558,759/609,839/738 is 17618161

Given numbers has no common factors except 1. So, there LCM is their product i.e 52854483

Least Common Multiple of 83,759,839 with GCF Formula

Least Common Multiple of 83,759,839 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 83,759,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,759,839) = 1

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

GCF(83,759,839) x common factors =1 x 1 = 1

LCM(83,759,839) = ( 83 × 759 × 839 ) / 1

LCM(83,759,839) = 52854483 / 1

LCM(83,759,839) = 52854483


Lets's calculate GCF of 558,609,738

3 558, 609, 738
186, 203, 246

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52854483/3

Therefore the LCM of Fractions 83/558,759/609,839/738 is 17618161

Greatest Common Factor of 558,609,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 558,609,738 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 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 558,609,738 . The biggest common factor number is the GCF number.
So the greatest common factor 558,609,738 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 83/558, 759/609, 839/738

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 83/558, 759/609, 839/738?

Answer: LCM of Numerators as per given numbers 83/558, 759/609, 839/738 is

LCM of Numerators i.e. for 83,759,839 is 52854483

GCF of denominators i.e. for 558,609,738 is 3.

Thus, LCM of Fractions is 17618161.Finally, LCM of Fractions for 83/558, 759/609, 839/738 is 17618161.