Least Common Multiple of 6125/410, 8083/6017

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6125/410, 8083/6017 quickly i.e. 49508375 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6125/410, 8083/6017 is 49508375.

LCM(6125/410, 8083/6017) = 49508375

LCM of 6125/410, 8083/6017

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 6125/410,8083/6017

Given numbers are 6125/410,8083/6017

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 6125,8083

Least Common Multiple of Numerators i.e. LCM of 6125,8083 is 49508375.

GCF of Denominators means GCF of 410,6017 as per the given fractions.

GCF of 410,6017 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6125,8083

LCM of Fractions 6125/410,8083/6017 is 49508375

Given numbers has no common factors except 1. So, there LCM is their product i.e 49508375

Least Common Multiple of 6125,8083 with GCF Formula

Least Common Multiple of 6125,8083 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 6125,8083 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6125,8083) = 1

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

GCF(6125,8083) x common factors =1 x 1 = 1

LCM(6125,8083) = ( 6125 × 8083 ) / 1

LCM(6125,8083) = 49508375 / 1

LCM(6125,8083) = 49508375


Lets's calculate GCF of 410,6017

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49508375/1

Therefore the LCM of Fractions 6125/410,8083/6017 is 49508375

Greatest Common Factor of 410,6017 By Matching Biggest Common Factor Method

Greatest Common Factor of 410,6017 By Matching Biggest Common Factor Method

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 6017

List of positive integer factors of 6017 that divides 6017 without a remainder.

1,11,547,6017

Greatest Common Factor

We found the factors 410,6017 . The biggest common factor number is the GCF number.
So the greatest common factor 410,6017 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6125/410, 8083/6017

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 6125/410, 8083/6017?

Answer: LCM of Numerators as per given numbers 6125/410, 8083/6017 is

LCM of Numerators i.e. for 6125,8083 is 49508375

GCF of denominators i.e. for 410,6017 is 1.

Thus, LCM of Fractions is 49508375.Finally, LCM of Fractions for 6125/410, 8083/6017 is 49508375.