Least Common Multiple of 10/230, 2319/9394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 10/230, 2319/9394 quickly i.e. 11595 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/230, 2319/9394 is 11595.

LCM(10/230, 2319/9394) = 11595

LCM of 10/230, 2319/9394

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 10/230,2319/9394

Given numbers are 10/230,2319/9394

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 10,2319

Least Common Multiple of Numerators i.e. LCM of 10,2319 is 23190.

GCF of Denominators means GCF of 230,9394 as per the given fractions.

GCF of 230,9394 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,2319

LCM of Fractions 10/230,2319/9394 is 11595

Given numbers has no common factors except 1. So, there LCM is their product i.e 23190

Least Common Multiple of 10,2319 with GCF Formula

Least Common Multiple of 10,2319 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 10,2319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,2319) = 1

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

GCF(10,2319) x common factors =1 x 1 = 1

LCM(10,2319) = ( 10 × 2319 ) / 1

LCM(10,2319) = 23190 / 1

LCM(10,2319) = 23190


Lets's calculate GCF of 230,9394

2 230, 9394
115, 4697

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23190/2

Therefore the LCM of Fractions 10/230,2319/9394 is 11595

Greatest Common Factor of 230,9394 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,9394 By Matching Biggest Common Factor Method

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 9394

List of positive integer factors of 9394 that divides 9394 without a remainder.

1,2,7,11,14,22,61,77,122,154,427,671,854,1342,4697,9394

Greatest Common Factor

We found the factors 230,9394 . The biggest common factor number is the GCF number.
So the greatest common factor 230,9394 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 10/230, 2319/9394

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 10/230, 2319/9394?

Answer: LCM of Numerators as per given numbers 10/230, 2319/9394 is

LCM of Numerators i.e. for 10,2319 is 23190

GCF of denominators i.e. for 230,9394 is 2.

Thus, LCM of Fractions is 11595.Finally, LCM of Fractions for 10/230, 2319/9394 is 11595.