Least Common Multiple of 9338/113, 2302/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9338/113, 2302/228 quickly i.e. 10748038 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9338/113, 2302/228 is 10748038.

LCM(9338/113, 2302/228) = 10748038

LCM of 9338/113, 2302/228

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 9338/113,2302/228

Given numbers are 9338/113,2302/228

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 9338,2302

Least Common Multiple of Numerators i.e. LCM of 9338,2302 is 10748038.

GCF of Denominators means GCF of 113,228 as per the given fractions.

GCF of 113,228 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9338,2302

LCM of Fractions 9338/113,2302/228 is 10748038

2 9338, 2302
4669, 1151

∴ So the LCM of the given numbers is 2 x 4669 x 1151 = 10748038

Least Common Multiple of 9338,2302 with GCF Formula

Least Common Multiple of 9338,2302 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 9338,2302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9338,2302) = 2

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

GCF(9338,2302) x common factors =2 x 1 = 2

LCM(9338,2302) = ( 9338 × 2302 ) / 2

LCM(9338,2302) = 21496076 / 2

LCM(9338,2302) = 10748038


Lets's calculate GCF of 113,228

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10748038/1

Therefore the LCM of Fractions 9338/113,2302/228 is 10748038

Greatest Common Factor of 113,228 By Matching Biggest Common Factor Method

Greatest Common Factor of 113,228 By Matching Biggest Common Factor Method

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Greatest Common Factor

We found the factors 113,228 . The biggest common factor number is the GCF number.
So the greatest common factor 113,228 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 9338/113, 2302/228

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 9338/113, 2302/228?

Answer: LCM of Numerators as per given numbers 9338/113, 2302/228 is

LCM of Numerators i.e. for 9338,2302 is 10748038

GCF of denominators i.e. for 113,228 is 1.

Thus, LCM of Fractions is 10748038.Finally, LCM of Fractions for 9338/113, 2302/228 is 10748038.