Least Common Multiple of 12/872, 6515/5296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/872, 6515/5296 quickly i.e. 78180/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/872, 6515/5296 is 78180/8.

LCM(12/872, 6515/5296) = 78180/8

LCM of 12/872, 6515/5296

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 12/872,6515/5296

Given numbers are 12/872,6515/5296

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 12,6515

Least Common Multiple of Numerators i.e. LCM of 12,6515 is 78180.

GCF of Denominators means GCF of 872,5296 as per the given fractions.

GCF of 872,5296 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,6515

LCM of Fractions 12/872,6515/5296 is 78180/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 78180

Least Common Multiple of 12,6515 with GCF Formula

Least Common Multiple of 12,6515 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 12,6515 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,6515) = 1

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

GCF(12,6515) x common factors =1 x 1 = 1

LCM(12,6515) = ( 12 × 6515 ) / 1

LCM(12,6515) = 78180 / 1

LCM(12,6515) = 78180


Lets's calculate GCF of 872,5296

2 872, 5296
2 436, 2648
2 218, 1324
109, 662

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78180/8

Therefore the LCM of Fractions 12/872,6515/5296 is 78180/8

Greatest Common Factor of 872,5296 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,5296 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 5296

List of positive integer factors of 5296 that divides 5296 without a remainder.

1,2,4,8,16,331,662,1324,2648,5296

Greatest Common Factor

We found the factors 872,5296 . The biggest common factor number is the GCF number.
So the greatest common factor 872,5296 is 8.


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 12/872, 6515/5296

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 12/872, 6515/5296?

Answer: LCM of Numerators as per given numbers 12/872, 6515/5296 is

LCM of Numerators i.e. for 12,6515 is 78180

GCF of denominators i.e. for 872,5296 is 8.

Thus, LCM of Fractions is 78180/8.Finally, LCM of Fractions for 12/872, 6515/5296 is 78180/8.