Least Common Multiple of 5005/760, 8184/878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5005/760, 8184/878 quickly i.e. 1861860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5005/760, 8184/878 is 1861860.

LCM(5005/760, 8184/878) = 1861860

LCM of 5005/760, 8184/878

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 5005/760,8184/878

Given numbers are 5005/760,8184/878

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 5005,8184

Least Common Multiple of Numerators i.e. LCM of 5005,8184 is 3723720.

GCF of Denominators means GCF of 760,878 as per the given fractions.

GCF of 760,878 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5005,8184

LCM of Fractions 5005/760,8184/878 is 1861860

11 5005, 8184
455, 744

∴ So the LCM of the given numbers is 11 x 455 x 744 = 3723720

Least Common Multiple of 5005,8184 with GCF Formula

Least Common Multiple of 5005,8184 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 5005,8184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5005,8184) = 11

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

GCF(5005,8184) x common factors =11 x 1 = 11

LCM(5005,8184) = ( 5005 × 8184 ) / 11

LCM(5005,8184) = 40960920 / 11

LCM(5005,8184) = 3723720


Lets's calculate GCF of 760,878

2 760, 878
380, 439

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3723720/2

Therefore the LCM of Fractions 5005/760,8184/878 is 1861860

Greatest Common Factor of 760,878 By Matching Biggest Common Factor Method

Greatest Common Factor of 760,878 By Matching Biggest Common Factor Method

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Greatest Common Factor

We found the factors 760,878 . The biggest common factor number is the GCF number.
So the greatest common factor 760,878 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 5005/760, 8184/878

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 5005/760, 8184/878?

Answer: LCM of Numerators as per given numbers 5005/760, 8184/878 is

LCM of Numerators i.e. for 5005,8184 is 3723720

GCF of denominators i.e. for 760,878 is 2.

Thus, LCM of Fractions is 1861860.Finally, LCM of Fractions for 5005/760, 8184/878 is 1861860.