Least Common Multiple of 194/422, 401/593, 351/387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 194/422, 401/593, 351/387 quickly i.e. 27305694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 194/422, 401/593, 351/387 is 27305694.

LCM(194/422, 401/593, 351/387) = 27305694

LCM of 194/422, 401/593, 351/387

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 194/422,401/593,351/387

Given numbers are 194/422,401/593,351/387

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 194,401,351

Least Common Multiple of Numerators i.e. LCM of 194,401,351 is 27305694.

GCF of Denominators means GCF of 422,593,387 as per the given fractions.

GCF of 422,593,387 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 194,401,351

LCM of Fractions 194/422,401/593,351/387 is 27305694

Given numbers has no common factors except 1. So, there LCM is their product i.e 27305694

Least Common Multiple of 194,401,351 with GCF Formula

Least Common Multiple of 194,401,351 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 194,401,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(194,401,351) = 1

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

GCF(194,401,351) x common factors =1 x 1 = 1

LCM(194,401,351) = ( 194 × 401 × 351 ) / 1

LCM(194,401,351) = 27305694 / 1

LCM(194,401,351) = 27305694


Lets's calculate GCF of 422,593,387

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27305694/1

Therefore the LCM of Fractions 194/422,401/593,351/387 is 27305694

Greatest Common Factor of 422,593,387 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,593,387 By Matching Biggest Common Factor Method

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1,593

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Greatest Common Factor

We found the factors 422,593,387 . The biggest common factor number is the GCF number.
So the greatest common factor 422,593,387 is 1.


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 194/422, 401/593, 351/387

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 194/422, 401/593, 351/387?

Answer: LCM of Numerators as per given numbers 194/422, 401/593, 351/387 is

LCM of Numerators i.e. for 194,401,351 is 27305694

GCF of denominators i.e. for 422,593,387 is 1.

Thus, LCM of Fractions is 27305694.Finally, LCM of Fractions for 194/422, 401/593, 351/387 is 27305694.