Least Common Multiple of 5468/81, 4104/559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5468/81, 4104/559 quickly i.e. 5610168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5468/81, 4104/559 is 5610168.

LCM(5468/81, 4104/559) = 5610168

LCM of 5468/81, 4104/559

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 5468/81,4104/559

Given numbers are 5468/81,4104/559

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 5468,4104

Least Common Multiple of Numerators i.e. LCM of 5468,4104 is 5610168.

GCF of Denominators means GCF of 81,559 as per the given fractions.

GCF of 81,559 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5468,4104

LCM of Fractions 5468/81,4104/559 is 5610168

2 5468, 4104
2 2734, 2052
1367, 1026

∴ So the LCM of the given numbers is 2 x 2 x 1367 x 1026 = 5610168

Least Common Multiple of 5468,4104 with GCF Formula

Least Common Multiple of 5468,4104 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 5468,4104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5468,4104) = 4

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

GCF(5468,4104) x common factors =4 x 1 = 4

LCM(5468,4104) = ( 5468 × 4104 ) / 4

LCM(5468,4104) = 22440672 / 4

LCM(5468,4104) = 5610168


Lets's calculate GCF of 81,559

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5610168/1

Therefore the LCM of Fractions 5468/81,4104/559 is 5610168

Greatest Common Factor of 81,559 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,559 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Greatest Common Factor

We found the factors 81,559 . The biggest common factor number is the GCF number.
So the greatest common factor 81,559 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5468/81, 4104/559

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 5468/81, 4104/559?

Answer: LCM of Numerators as per given numbers 5468/81, 4104/559 is

LCM of Numerators i.e. for 5468,4104 is 5610168

GCF of denominators i.e. for 81,559 is 1.

Thus, LCM of Fractions is 5610168.Finally, LCM of Fractions for 5468/81, 4104/559 is 5610168.