Least Common Multiple of 8480/82, 8146/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8480/82, 8146/484 quickly i.e. 17269520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8480/82, 8146/484 is 17269520.

LCM(8480/82, 8146/484) = 17269520

LCM of 8480/82, 8146/484

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 8480/82,8146/484

Given numbers are 8480/82,8146/484

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 8480,8146

Least Common Multiple of Numerators i.e. LCM of 8480,8146 is 34539040.

GCF of Denominators means GCF of 82,484 as per the given fractions.

GCF of 82,484 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8480,8146

LCM of Fractions 8480/82,8146/484 is 17269520

2 8480, 8146
4240, 4073

∴ So the LCM of the given numbers is 2 x 4240 x 4073 = 34539040

Least Common Multiple of 8480,8146 with GCF Formula

Least Common Multiple of 8480,8146 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 8480,8146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8480,8146) = 2

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

GCF(8480,8146) x common factors =2 x 1 = 2

LCM(8480,8146) = ( 8480 × 8146 ) / 2

LCM(8480,8146) = 69078080 / 2

LCM(8480,8146) = 34539040


Lets's calculate GCF of 82,484

2 82, 484
41, 242

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34539040/2

Therefore the LCM of Fractions 8480/82,8146/484 is 17269520

Greatest Common Factor of 82,484 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,484 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Greatest Common Factor

We found the factors 82,484 . The biggest common factor number is the GCF number.
So the greatest common factor 82,484 is 2.


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 8480/82, 8146/484

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 8480/82, 8146/484?

Answer: LCM of Numerators as per given numbers 8480/82, 8146/484 is

LCM of Numerators i.e. for 8480,8146 is 34539040

GCF of denominators i.e. for 82,484 is 2.

Thus, LCM of Fractions is 17269520.Finally, LCM of Fractions for 8480/82, 8146/484 is 17269520.