Least Common Multiple of 515/638, 5980/463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 515/638, 5980/463 quickly i.e. 615940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 515/638, 5980/463 is 615940.

LCM(515/638, 5980/463) = 615940

LCM of 515/638, 5980/463

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 515/638,5980/463

Given numbers are 515/638,5980/463

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 515,5980

Least Common Multiple of Numerators i.e. LCM of 515,5980 is 615940.

GCF of Denominators means GCF of 638,463 as per the given fractions.

GCF of 638,463 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 515,5980

LCM of Fractions 515/638,5980/463 is 615940

5 515, 5980
103, 1196

∴ So the LCM of the given numbers is 5 x 103 x 1196 = 615940

Least Common Multiple of 515,5980 with GCF Formula

Least Common Multiple of 515,5980 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 515,5980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(515,5980) = 5

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

GCF(515,5980) x common factors =5 x 1 = 5

LCM(515,5980) = ( 515 × 5980 ) / 5

LCM(515,5980) = 3079700 / 5

LCM(515,5980) = 615940


Lets's calculate GCF of 638,463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 615940/1

Therefore the LCM of Fractions 515/638,5980/463 is 615940

Greatest Common Factor of 638,463 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,463 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Greatest Common Factor

We found the factors 638,463 . The biggest common factor number is the GCF number.
So the greatest common factor 638,463 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 515/638, 5980/463

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 515/638, 5980/463?

Answer: LCM of Numerators as per given numbers 515/638, 5980/463 is

LCM of Numerators i.e. for 515,5980 is 615940

GCF of denominators i.e. for 638,463 is 1.

Thus, LCM of Fractions is 615940.Finally, LCM of Fractions for 515/638, 5980/463 is 615940.