Least Common Multiple of 514/980, 1030/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 514/980, 1030/589 quickly i.e. 264710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 514/980, 1030/589 is 264710.

LCM(514/980, 1030/589) = 264710

LCM of 514/980, 1030/589

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 514/980,1030/589

Given numbers are 514/980,1030/589

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 514,1030

Least Common Multiple of Numerators i.e. LCM of 514,1030 is 264710.

GCF of Denominators means GCF of 980,589 as per the given fractions.

GCF of 980,589 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 514,1030

LCM of Fractions 514/980,1030/589 is 264710

2 514, 1030
257, 515

∴ So the LCM of the given numbers is 2 x 257 x 515 = 264710

Least Common Multiple of 514,1030 with GCF Formula

Least Common Multiple of 514,1030 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 514,1030 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,1030) = 2

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

GCF(514,1030) x common factors =2 x 1 = 2

LCM(514,1030) = ( 514 × 1030 ) / 2

LCM(514,1030) = 529420 / 2

LCM(514,1030) = 264710


Lets's calculate GCF of 980,589

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 264710/1

Therefore the LCM of Fractions 514/980,1030/589 is 264710

Greatest Common Factor of 980,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,589 By Matching Biggest Common Factor Method

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors 980,589 . The biggest common factor number is the GCF number.
So the greatest common factor 980,589 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 514/980, 1030/589

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 514/980, 1030/589?

Answer: LCM of Numerators as per given numbers 514/980, 1030/589 is

LCM of Numerators i.e. for 514,1030 is 264710

GCF of denominators i.e. for 980,589 is 1.

Thus, LCM of Fractions is 264710.Finally, LCM of Fractions for 514/980, 1030/589 is 264710.