Least Common Multiple of 9226/195, 7286/5316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9226/195, 7286/5316 quickly i.e. 33610318/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9226/195, 7286/5316 is 33610318/3.

LCM(9226/195, 7286/5316) = 33610318/3

LCM of 9226/195, 7286/5316

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 9226/195,7286/5316

Given numbers are 9226/195,7286/5316

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 9226,7286

Least Common Multiple of Numerators i.e. LCM of 9226,7286 is 33610318.

GCF of Denominators means GCF of 195,5316 as per the given fractions.

GCF of 195,5316 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9226,7286

LCM of Fractions 9226/195,7286/5316 is 33610318/3

2 9226, 7286
4613, 3643

∴ So the LCM of the given numbers is 2 x 4613 x 3643 = 33610318

Least Common Multiple of 9226,7286 with GCF Formula

Least Common Multiple of 9226,7286 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 9226,7286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9226,7286) = 2

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

GCF(9226,7286) x common factors =2 x 1 = 2

LCM(9226,7286) = ( 9226 × 7286 ) / 2

LCM(9226,7286) = 67220636 / 2

LCM(9226,7286) = 33610318


Lets's calculate GCF of 195,5316

3 195, 5316
65, 1772

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33610318/3

Therefore the LCM of Fractions 9226/195,7286/5316 is 33610318/3

Greatest Common Factor of 195,5316 By Matching Biggest Common Factor Method

Greatest Common Factor of 195,5316 By Matching Biggest Common Factor Method

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Factors of 5316

List of positive integer factors of 5316 that divides 5316 without a remainder.

1,2,3,4,6,12,443,886,1329,1772,2658,5316

Greatest Common Factor

We found the factors 195,5316 . The biggest common factor number is the GCF number.
So the greatest common factor 195,5316 is 3.


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 9226/195, 7286/5316

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 9226/195, 7286/5316?

Answer: LCM of Numerators as per given numbers 9226/195, 7286/5316 is

LCM of Numerators i.e. for 9226,7286 is 33610318

GCF of denominators i.e. for 195,5316 is 3.

Thus, LCM of Fractions is 33610318/3.Finally, LCM of Fractions for 9226/195, 7286/5316 is 33610318/3.