Least Common Multiple of 519/85, 381/5742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 519/85, 381/5742 quickly i.e. 65913 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 519/85, 381/5742 is 65913.

LCM(519/85, 381/5742) = 65913

LCM of 519/85, 381/5742

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 519/85,381/5742

Given numbers are 519/85,381/5742

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 519,381

Least Common Multiple of Numerators i.e. LCM of 519,381 is 65913.

GCF of Denominators means GCF of 85,5742 as per the given fractions.

GCF of 85,5742 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 519,381

LCM of Fractions 519/85,381/5742 is 65913

3 519, 381
173, 127

∴ So the LCM of the given numbers is 3 x 173 x 127 = 65913

Least Common Multiple of 519,381 with GCF Formula

Least Common Multiple of 519,381 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 519,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(519,381) = 3

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

GCF(519,381) x common factors =3 x 1 = 3

LCM(519,381) = ( 519 × 381 ) / 3

LCM(519,381) = 197739 / 3

LCM(519,381) = 65913


Lets's calculate GCF of 85,5742

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65913/1

Therefore the LCM of Fractions 519/85,381/5742 is 65913

Greatest Common Factor of 85,5742 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,5742 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 5742

List of positive integer factors of 5742 that divides 5742 without a remainder.

1,2,3,6,9,11,18,22,29,33,58,66,87,99,174,198,261,319,522,638,957,1914,2871,5742

Greatest Common Factor

We found the factors 85,5742 . The biggest common factor number is the GCF number.
So the greatest common factor 85,5742 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 519/85, 381/5742

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 519/85, 381/5742?

Answer: LCM of Numerators as per given numbers 519/85, 381/5742 is

LCM of Numerators i.e. for 519,381 is 65913

GCF of denominators i.e. for 85,5742 is 1.

Thus, LCM of Fractions is 65913.Finally, LCM of Fractions for 519/85, 381/5742 is 65913.