Least Common Multiple of 55/592, 1619/5439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/592, 1619/5439 quickly i.e. 89045/37 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/592, 1619/5439 is 89045/37.

LCM(55/592, 1619/5439) = 89045/37

LCM of 55/592, 1619/5439

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 55/592,1619/5439

Given numbers are 55/592,1619/5439

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 55,1619

Least Common Multiple of Numerators i.e. LCM of 55,1619 is 89045.

GCF of Denominators means GCF of 592,5439 as per the given fractions.

GCF of 592,5439 is 37 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,1619

LCM of Fractions 55/592,1619/5439 is 89045/37

Given numbers has no common factors except 1. So, there LCM is their product i.e 89045

Least Common Multiple of 55,1619 with GCF Formula

Least Common Multiple of 55,1619 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 55,1619 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,1619) = 1

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

GCF(55,1619) x common factors =1 x 1 = 1

LCM(55,1619) = ( 55 × 1619 ) / 1

LCM(55,1619) = 89045 / 1

LCM(55,1619) = 89045


Lets's calculate GCF of 592,5439

37 592, 5439
16, 147

∴ So the GCF of the given numbers is 37 = 37

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89045/37

Therefore the LCM of Fractions 55/592,1619/5439 is 89045/37

Greatest Common Factor of 592,5439 By Matching Biggest Common Factor Method

Greatest Common Factor of 592,5439 By Matching Biggest Common Factor Method

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 5439

List of positive integer factors of 5439 that divides 5439 without a remainder.

1,3,7,21,37,49,111,147,259,777,1813,5439

Greatest Common Factor

We found the factors 592,5439 . The biggest common factor number is the GCF number.
So the greatest common factor 592,5439 is 37.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 55/592, 1619/5439

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 55/592, 1619/5439?

Answer: LCM of Numerators as per given numbers 55/592, 1619/5439 is

LCM of Numerators i.e. for 55,1619 is 89045

GCF of denominators i.e. for 592,5439 is 37.

Thus, LCM of Fractions is 89045/37.Finally, LCM of Fractions for 55/592, 1619/5439 is 89045/37.