Least Common Multiple of 6194/615, 2229/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6194/615, 2229/738 quickly i.e. 13806426/123 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6194/615, 2229/738 is 13806426/123.

LCM(6194/615, 2229/738) = 13806426/123

LCM of 6194/615, 2229/738

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 6194/615,2229/738

Given numbers are 6194/615,2229/738

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 6194,2229

Least Common Multiple of Numerators i.e. LCM of 6194,2229 is 13806426.

GCF of Denominators means GCF of 615,738 as per the given fractions.

GCF of 615,738 is 123 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6194,2229

LCM of Fractions 6194/615,2229/738 is 13806426/123

Given numbers has no common factors except 1. So, there LCM is their product i.e 13806426

Least Common Multiple of 6194,2229 with GCF Formula

Least Common Multiple of 6194,2229 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 6194,2229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6194,2229) = 1

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

GCF(6194,2229) x common factors =1 x 1 = 1

LCM(6194,2229) = ( 6194 × 2229 ) / 1

LCM(6194,2229) = 13806426 / 1

LCM(6194,2229) = 13806426


Lets's calculate GCF of 615,738

3 615, 738
41 205, 246
5, 6

∴ So the GCF of the given numbers is 3 x 41 = 123

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13806426/123

Therefore the LCM of Fractions 6194/615,2229/738 is 13806426/123

Greatest Common Factor of 615,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,738 By Matching Biggest Common Factor Method

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 615,738 . The biggest common factor number is the GCF number.
So the greatest common factor 615,738 is 123.


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 6194/615, 2229/738

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 6194/615, 2229/738?

Answer: LCM of Numerators as per given numbers 6194/615, 2229/738 is

LCM of Numerators i.e. for 6194,2229 is 13806426

GCF of denominators i.e. for 615,738 is 123.

Thus, LCM of Fractions is 13806426/123.Finally, LCM of Fractions for 6194/615, 2229/738 is 13806426/123.