Least Common Multiple of 8120/10, 8398/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8120/10, 8398/509 quickly i.e. 34095880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8120/10, 8398/509 is 34095880.

LCM(8120/10, 8398/509) = 34095880

LCM of 8120/10, 8398/509

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 8120/10,8398/509

Given numbers are 8120/10,8398/509

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 8120,8398

Least Common Multiple of Numerators i.e. LCM of 8120,8398 is 34095880.

GCF of Denominators means GCF of 10,509 as per the given fractions.

GCF of 10,509 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8120,8398

LCM of Fractions 8120/10,8398/509 is 34095880

2 8120, 8398
4060, 4199

∴ So the LCM of the given numbers is 2 x 4060 x 4199 = 34095880

Least Common Multiple of 8120,8398 with GCF Formula

Least Common Multiple of 8120,8398 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 8120,8398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8120,8398) = 2

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

GCF(8120,8398) x common factors =2 x 1 = 2

LCM(8120,8398) = ( 8120 × 8398 ) / 2

LCM(8120,8398) = 68191760 / 2

LCM(8120,8398) = 34095880


Lets's calculate GCF of 10,509

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34095880/1

Therefore the LCM of Fractions 8120/10,8398/509 is 34095880

Greatest Common Factor of 10,509 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,509 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Greatest Common Factor

We found the factors 10,509 . The biggest common factor number is the GCF number.
So the greatest common factor 10,509 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8120/10, 8398/509

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 8120/10, 8398/509?

Answer: LCM of Numerators as per given numbers 8120/10, 8398/509 is

LCM of Numerators i.e. for 8120,8398 is 34095880

GCF of denominators i.e. for 10,509 is 1.

Thus, LCM of Fractions is 34095880.Finally, LCM of Fractions for 8120/10, 8398/509 is 34095880.