Least Common Multiple of 559/557, 319/594, 205/139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 559/557, 319/594, 205/139 quickly i.e. 36555805 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 559/557, 319/594, 205/139 is 36555805.

LCM(559/557, 319/594, 205/139) = 36555805

LCM of 559/557, 319/594, 205/139

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 559/557,319/594,205/139

Given numbers are 559/557,319/594,205/139

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 559,319,205

Least Common Multiple of Numerators i.e. LCM of 559,319,205 is 36555805.

GCF of Denominators means GCF of 557,594,139 as per the given fractions.

GCF of 557,594,139 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 559,319,205

LCM of Fractions 559/557,319/594,205/139 is 36555805

Given numbers has no common factors except 1. So, there LCM is their product i.e 36555805

Least Common Multiple of 559,319,205 with GCF Formula

Least Common Multiple of 559,319,205 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 559,319,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(559,319,205) = 1

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

GCF(559,319,205) x common factors =1 x 1 = 1

LCM(559,319,205) = ( 559 × 319 × 205 ) / 1

LCM(559,319,205) = 36555805 / 1

LCM(559,319,205) = 36555805


Lets's calculate GCF of 557,594,139

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36555805/1

Therefore the LCM of Fractions 559/557,319/594,205/139 is 36555805

Greatest Common Factor of 557,594,139 By Matching Biggest Common Factor Method

Greatest Common Factor of 557,594,139 By Matching Biggest Common Factor Method

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

Greatest Common Factor

We found the factors 557,594,139 . The biggest common factor number is the GCF number.
So the greatest common factor 557,594,139 is 1.


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 559/557, 319/594, 205/139

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 559/557, 319/594, 205/139?

Answer: LCM of Numerators as per given numbers 559/557, 319/594, 205/139 is

LCM of Numerators i.e. for 559,319,205 is 36555805

GCF of denominators i.e. for 557,594,139 is 1.

Thus, LCM of Fractions is 36555805.Finally, LCM of Fractions for 559/557, 319/594, 205/139 is 36555805.