Least Common Multiple of 514/50, 380/5019

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 514/50, 380/5019 quickly i.e. 97660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 514/50, 380/5019 is 97660.

LCM(514/50, 380/5019) = 97660

LCM of 514/50, 380/5019

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 514/50,380/5019

Given numbers are 514/50,380/5019

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 514,380

Least Common Multiple of Numerators i.e. LCM of 514,380 is 97660.

GCF of Denominators means GCF of 50,5019 as per the given fractions.

GCF of 50,5019 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 514,380

LCM of Fractions 514/50,380/5019 is 97660

2 514, 380
257, 190

∴ So the LCM of the given numbers is 2 x 257 x 190 = 97660

Least Common Multiple of 514,380 with GCF Formula

Least Common Multiple of 514,380 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 514,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,380) = 2

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

GCF(514,380) x common factors =2 x 1 = 2

LCM(514,380) = ( 514 × 380 ) / 2

LCM(514,380) = 195320 / 2

LCM(514,380) = 97660


Lets's calculate GCF of 50,5019

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97660/1

Therefore the LCM of Fractions 514/50,380/5019 is 97660

Greatest Common Factor of 50,5019 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,5019 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 5019

List of positive integer factors of 5019 that divides 5019 without a remainder.

1,3,7,21,239,717,1673,5019

Greatest Common Factor

We found the factors 50,5019 . The biggest common factor number is the GCF number.
So the greatest common factor 50,5019 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 514/50, 380/5019

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 514/50, 380/5019?

Answer: LCM of Numerators as per given numbers 514/50, 380/5019 is

LCM of Numerators i.e. for 514,380 is 97660

GCF of denominators i.e. for 50,5019 is 1.

Thus, LCM of Fractions is 97660.Finally, LCM of Fractions for 514/50, 380/5019 is 97660.