Least Common Multiple of 5644/103, 7709/5819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5644/103, 7709/5819 quickly i.e. 43509596 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5644/103, 7709/5819 is 43509596.

LCM(5644/103, 7709/5819) = 43509596

LCM of 5644/103, 7709/5819

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 5644/103,7709/5819

Given numbers are 5644/103,7709/5819

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 5644,7709

Least Common Multiple of Numerators i.e. LCM of 5644,7709 is 43509596.

GCF of Denominators means GCF of 103,5819 as per the given fractions.

GCF of 103,5819 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5644,7709

LCM of Fractions 5644/103,7709/5819 is 43509596

Given numbers has no common factors except 1. So, there LCM is their product i.e 43509596

Least Common Multiple of 5644,7709 with GCF Formula

Least Common Multiple of 5644,7709 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 5644,7709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5644,7709) = 1

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

GCF(5644,7709) x common factors =1 x 1 = 1

LCM(5644,7709) = ( 5644 × 7709 ) / 1

LCM(5644,7709) = 43509596 / 1

LCM(5644,7709) = 43509596


Lets's calculate GCF of 103,5819

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43509596/1

Therefore the LCM of Fractions 5644/103,7709/5819 is 43509596

Greatest Common Factor of 103,5819 By Matching Biggest Common Factor Method

Greatest Common Factor of 103,5819 By Matching Biggest Common Factor Method

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Factors of 5819

List of positive integer factors of 5819 that divides 5819 without a remainder.

1,11,23,253,529,5819

Greatest Common Factor

We found the factors 103,5819 . The biggest common factor number is the GCF number.
So the greatest common factor 103,5819 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 5644/103, 7709/5819

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 5644/103, 7709/5819?

Answer: LCM of Numerators as per given numbers 5644/103, 7709/5819 is

LCM of Numerators i.e. for 5644,7709 is 43509596

GCF of denominators i.e. for 103,5819 is 1.

Thus, LCM of Fractions is 43509596.Finally, LCM of Fractions for 5644/103, 7709/5819 is 43509596.