Least Common Multiple of 8122/467, 6240/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8122/467, 6240/860 quickly i.e. 25340640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8122/467, 6240/860 is 25340640.

LCM(8122/467, 6240/860) = 25340640

LCM of 8122/467, 6240/860

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 8122/467,6240/860

Given numbers are 8122/467,6240/860

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 8122,6240

Least Common Multiple of Numerators i.e. LCM of 8122,6240 is 25340640.

GCF of Denominators means GCF of 467,860 as per the given fractions.

GCF of 467,860 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8122,6240

LCM of Fractions 8122/467,6240/860 is 25340640

2 8122, 6240
4061, 3120

∴ So the LCM of the given numbers is 2 x 4061 x 3120 = 25340640

Least Common Multiple of 8122,6240 with GCF Formula

Least Common Multiple of 8122,6240 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 8122,6240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8122,6240) = 2

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

GCF(8122,6240) x common factors =2 x 1 = 2

LCM(8122,6240) = ( 8122 × 6240 ) / 2

LCM(8122,6240) = 50681280 / 2

LCM(8122,6240) = 25340640


Lets's calculate GCF of 467,860

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25340640/1

Therefore the LCM of Fractions 8122/467,6240/860 is 25340640

Greatest Common Factor of 467,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 467,860 By Matching Biggest Common Factor Method

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 467,860 . The biggest common factor number is the GCF number.
So the greatest common factor 467,860 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 8122/467, 6240/860

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 8122/467, 6240/860?

Answer: LCM of Numerators as per given numbers 8122/467, 6240/860 is

LCM of Numerators i.e. for 8122,6240 is 25340640

GCF of denominators i.e. for 467,860 is 1.

Thus, LCM of Fractions is 25340640.Finally, LCM of Fractions for 8122/467, 6240/860 is 25340640.