Least Common Multiple of 6103/229, 8173/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6103/229, 8173/722 quickly i.e. 49879819 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6103/229, 8173/722 is 49879819.

LCM(6103/229, 8173/722) = 49879819

LCM of 6103/229, 8173/722

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 6103/229,8173/722

Given numbers are 6103/229,8173/722

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 6103,8173

Least Common Multiple of Numerators i.e. LCM of 6103,8173 is 49879819.

GCF of Denominators means GCF of 229,722 as per the given fractions.

GCF of 229,722 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6103,8173

LCM of Fractions 6103/229,8173/722 is 49879819

Given numbers has no common factors except 1. So, there LCM is their product i.e 49879819

Least Common Multiple of 6103,8173 with GCF Formula

Least Common Multiple of 6103,8173 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 6103,8173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6103,8173) = 1

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

GCF(6103,8173) x common factors =1 x 1 = 1

LCM(6103,8173) = ( 6103 × 8173 ) / 1

LCM(6103,8173) = 49879819 / 1

LCM(6103,8173) = 49879819


Lets's calculate GCF of 229,722

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49879819/1

Therefore the LCM of Fractions 6103/229,8173/722 is 49879819

Greatest Common Factor of 229,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 229,722 By Matching Biggest Common Factor Method

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 229,722 . The biggest common factor number is the GCF number.
So the greatest common factor 229,722 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6103/229, 8173/722

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 6103/229, 8173/722?

Answer: LCM of Numerators as per given numbers 6103/229, 8173/722 is

LCM of Numerators i.e. for 6103,8173 is 49879819

GCF of denominators i.e. for 229,722 is 1.

Thus, LCM of Fractions is 49879819.Finally, LCM of Fractions for 6103/229, 8173/722 is 49879819.