Least Common Multiple of 317/327, 571/535, 442/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 317/327, 571/535, 442/618 quickly i.e. 80005094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 317/327, 571/535, 442/618 is 80005094.

LCM(317/327, 571/535, 442/618) = 80005094

LCM of 317/327, 571/535, 442/618

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 317/327,571/535,442/618

Given numbers are 317/327,571/535,442/618

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 317,571,442

Least Common Multiple of Numerators i.e. LCM of 317,571,442 is 80005094.

GCF of Denominators means GCF of 327,535,618 as per the given fractions.

GCF of 327,535,618 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 317,571,442

LCM of Fractions 317/327,571/535,442/618 is 80005094

Given numbers has no common factors except 1. So, there LCM is their product i.e 80005094

Least Common Multiple of 317,571,442 with GCF Formula

Least Common Multiple of 317,571,442 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 317,571,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(317,571,442) = 1

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

GCF(317,571,442) x common factors =1 x 1 = 1

LCM(317,571,442) = ( 317 × 571 × 442 ) / 1

LCM(317,571,442) = 80005094 / 1

LCM(317,571,442) = 80005094


Lets's calculate GCF of 327,535,618

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80005094/1

Therefore the LCM of Fractions 317/327,571/535,442/618 is 80005094

Greatest Common Factor of 327,535,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 327,535,618 By Matching Biggest Common Factor Method

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 327,535,618 . The biggest common factor number is the GCF number.
So the greatest common factor 327,535,618 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 317/327, 571/535, 442/618

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 317/327, 571/535, 442/618?

Answer: LCM of Numerators as per given numbers 317/327, 571/535, 442/618 is

LCM of Numerators i.e. for 317,571,442 is 80005094

GCF of denominators i.e. for 327,535,618 is 1.

Thus, LCM of Fractions is 80005094.Finally, LCM of Fractions for 317/327, 571/535, 442/618 is 80005094.