Least Common Multiple of 5324/826, 9096/2367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5324/826, 9096/2367 quickly i.e. 12106776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5324/826, 9096/2367 is 12106776.

LCM(5324/826, 9096/2367) = 12106776

LCM of 5324/826, 9096/2367

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 5324/826,9096/2367

Given numbers are 5324/826,9096/2367

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 5324,9096

Least Common Multiple of Numerators i.e. LCM of 5324,9096 is 12106776.

GCF of Denominators means GCF of 826,2367 as per the given fractions.

GCF of 826,2367 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5324,9096

LCM of Fractions 5324/826,9096/2367 is 12106776

2 5324, 9096
2 2662, 4548
1331, 2274

∴ So the LCM of the given numbers is 2 x 2 x 1331 x 2274 = 12106776

Least Common Multiple of 5324,9096 with GCF Formula

Least Common Multiple of 5324,9096 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 5324,9096 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5324,9096) = 4

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

GCF(5324,9096) x common factors =4 x 1 = 4

LCM(5324,9096) = ( 5324 × 9096 ) / 4

LCM(5324,9096) = 48427104 / 4

LCM(5324,9096) = 12106776


Lets's calculate GCF of 826,2367

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12106776/1

Therefore the LCM of Fractions 5324/826,9096/2367 is 12106776

Greatest Common Factor of 826,2367 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,2367 By Matching Biggest Common Factor Method

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 2367

List of positive integer factors of 2367 that divides 2367 without a remainder.

1,3,9,263,789,2367

Greatest Common Factor

We found the factors 826,2367 . The biggest common factor number is the GCF number.
So the greatest common factor 826,2367 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5324/826, 9096/2367

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 5324/826, 9096/2367?

Answer: LCM of Numerators as per given numbers 5324/826, 9096/2367 is

LCM of Numerators i.e. for 5324,9096 is 12106776

GCF of denominators i.e. for 826,2367 is 1.

Thus, LCM of Fractions is 12106776.Finally, LCM of Fractions for 5324/826, 9096/2367 is 12106776.