Least Common Multiple of 7112/864, 7094/6238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7112/864, 7094/6238 quickly i.e. 12613132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7112/864, 7094/6238 is 12613132.

LCM(7112/864, 7094/6238) = 12613132

LCM of 7112/864, 7094/6238

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 7112/864,7094/6238

Given numbers are 7112/864,7094/6238

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 7112,7094

Least Common Multiple of Numerators i.e. LCM of 7112,7094 is 25226264.

GCF of Denominators means GCF of 864,6238 as per the given fractions.

GCF of 864,6238 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7112,7094

LCM of Fractions 7112/864,7094/6238 is 12613132

2 7112, 7094
3556, 3547

∴ So the LCM of the given numbers is 2 x 3556 x 3547 = 25226264

Least Common Multiple of 7112,7094 with GCF Formula

Least Common Multiple of 7112,7094 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 7112,7094 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7112,7094) = 2

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

GCF(7112,7094) x common factors =2 x 1 = 2

LCM(7112,7094) = ( 7112 × 7094 ) / 2

LCM(7112,7094) = 50452528 / 2

LCM(7112,7094) = 25226264


Lets's calculate GCF of 864,6238

2 864, 6238
432, 3119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25226264/2

Therefore the LCM of Fractions 7112/864,7094/6238 is 12613132

Greatest Common Factor of 864,6238 By Matching Biggest Common Factor Method

Greatest Common Factor of 864,6238 By Matching Biggest Common Factor Method

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 6238

List of positive integer factors of 6238 that divides 6238 without a remainder.

1,2,3119,6238

Greatest Common Factor

We found the factors 864,6238 . The biggest common factor number is the GCF number.
So the greatest common factor 864,6238 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 7112/864, 7094/6238

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 7112/864, 7094/6238?

Answer: LCM of Numerators as per given numbers 7112/864, 7094/6238 is

LCM of Numerators i.e. for 7112,7094 is 25226264

GCF of denominators i.e. for 864,6238 is 2.

Thus, LCM of Fractions is 12613132.Finally, LCM of Fractions for 7112/864, 7094/6238 is 12613132.