Least Common Multiple of 8230/519, 7514/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8230/519, 7514/210 quickly i.e. 30920110/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8230/519, 7514/210 is 30920110/3.

LCM(8230/519, 7514/210) = 30920110/3

LCM of 8230/519, 7514/210

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 8230/519,7514/210

Given numbers are 8230/519,7514/210

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 8230,7514

Least Common Multiple of Numerators i.e. LCM of 8230,7514 is 30920110.

GCF of Denominators means GCF of 519,210 as per the given fractions.

GCF of 519,210 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8230,7514

LCM of Fractions 8230/519,7514/210 is 30920110/3

2 8230, 7514
4115, 3757

∴ So the LCM of the given numbers is 2 x 4115 x 3757 = 30920110

Least Common Multiple of 8230,7514 with GCF Formula

Least Common Multiple of 8230,7514 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 8230,7514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8230,7514) = 2

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

GCF(8230,7514) x common factors =2 x 1 = 2

LCM(8230,7514) = ( 8230 × 7514 ) / 2

LCM(8230,7514) = 61840220 / 2

LCM(8230,7514) = 30920110


Lets's calculate GCF of 519,210

3 519, 210
173, 70

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30920110/3

Therefore the LCM of Fractions 8230/519,7514/210 is 30920110/3

Greatest Common Factor of 519,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 519,210 By Matching Biggest Common Factor Method

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 519,210 . The biggest common factor number is the GCF number.
So the greatest common factor 519,210 is 3.


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 8230/519, 7514/210

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 8230/519, 7514/210?

Answer: LCM of Numerators as per given numbers 8230/519, 7514/210 is

LCM of Numerators i.e. for 8230,7514 is 30920110

GCF of denominators i.e. for 519,210 is 3.

Thus, LCM of Fractions is 30920110/3.Finally, LCM of Fractions for 8230/519, 7514/210 is 30920110/3.