Least Common Multiple of 7508/872, 5056/2686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7508/872, 5056/2686 quickly i.e. 4745056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7508/872, 5056/2686 is 4745056.

LCM(7508/872, 5056/2686) = 4745056

LCM of 7508/872, 5056/2686

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 7508/872,5056/2686

Given numbers are 7508/872,5056/2686

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 7508,5056

Least Common Multiple of Numerators i.e. LCM of 7508,5056 is 9490112.

GCF of Denominators means GCF of 872,2686 as per the given fractions.

GCF of 872,2686 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7508,5056

LCM of Fractions 7508/872,5056/2686 is 4745056

2 7508, 5056
2 3754, 2528
1877, 1264

∴ So the LCM of the given numbers is 2 x 2 x 1877 x 1264 = 9490112

Least Common Multiple of 7508,5056 with GCF Formula

Least Common Multiple of 7508,5056 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 7508,5056 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7508,5056) = 4

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

GCF(7508,5056) x common factors =4 x 1 = 4

LCM(7508,5056) = ( 7508 × 5056 ) / 4

LCM(7508,5056) = 37960448 / 4

LCM(7508,5056) = 9490112


Lets's calculate GCF of 872,2686

2 872, 2686
436, 1343

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9490112/2

Therefore the LCM of Fractions 7508/872,5056/2686 is 4745056

Greatest Common Factor of 872,2686 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,2686 By Matching Biggest Common Factor Method

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 2686

List of positive integer factors of 2686 that divides 2686 without a remainder.

1,2,17,34,79,158,1343,2686

Greatest Common Factor

We found the factors 872,2686 . The biggest common factor number is the GCF number.
So the greatest common factor 872,2686 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 7508/872, 5056/2686

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 7508/872, 5056/2686?

Answer: LCM of Numerators as per given numbers 7508/872, 5056/2686 is

LCM of Numerators i.e. for 7508,5056 is 9490112

GCF of denominators i.e. for 872,2686 is 2.

Thus, LCM of Fractions is 4745056.Finally, LCM of Fractions for 7508/872, 5056/2686 is 4745056.