Least Common Multiple of 590/520, 866/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 590/520, 866/198 quickly i.e. 127735 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 590/520, 866/198 is 127735.

LCM(590/520, 866/198) = 127735

LCM of 590/520, 866/198

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 590/520,866/198

Given numbers are 590/520,866/198

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 590,866

Least Common Multiple of Numerators i.e. LCM of 590,866 is 255470.

GCF of Denominators means GCF of 520,198 as per the given fractions.

GCF of 520,198 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 590,866

LCM of Fractions 590/520,866/198 is 127735

2 590, 866
295, 433

∴ So the LCM of the given numbers is 2 x 295 x 433 = 255470

Least Common Multiple of 590,866 with GCF Formula

Least Common Multiple of 590,866 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 590,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(590,866) = 2

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

GCF(590,866) x common factors =2 x 1 = 2

LCM(590,866) = ( 590 × 866 ) / 2

LCM(590,866) = 510940 / 2

LCM(590,866) = 255470


Lets's calculate GCF of 520,198

2 520, 198
260, 99

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 255470/2

Therefore the LCM of Fractions 590/520,866/198 is 127735

Greatest Common Factor of 520,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,198 By Matching Biggest Common Factor Method

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 520,198 . The biggest common factor number is the GCF number.
So the greatest common factor 520,198 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 590/520, 866/198

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 590/520, 866/198?

Answer: LCM of Numerators as per given numbers 590/520, 866/198 is

LCM of Numerators i.e. for 590,866 is 255470

GCF of denominators i.e. for 520,198 is 2.

Thus, LCM of Fractions is 127735.Finally, LCM of Fractions for 590/520, 866/198 is 127735.