Least Common Multiple of 327/83, 379/85, 491/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 327/83, 379/85, 491/412 quickly i.e. 60851103 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 327/83, 379/85, 491/412 is 60851103.

LCM(327/83, 379/85, 491/412) = 60851103

LCM of 327/83, 379/85, 491/412

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 327/83,379/85,491/412

Given numbers are 327/83,379/85,491/412

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 327,379,491

Least Common Multiple of Numerators i.e. LCM of 327,379,491 is 60851103.

GCF of Denominators means GCF of 83,85,412 as per the given fractions.

GCF of 83,85,412 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 327,379,491

LCM of Fractions 327/83,379/85,491/412 is 60851103

Given numbers has no common factors except 1. So, there LCM is their product i.e 60851103

Least Common Multiple of 327,379,491 with GCF Formula

Least Common Multiple of 327,379,491 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 327,379,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(327,379,491) = 1

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

GCF(327,379,491) x common factors =1 x 1 = 1

LCM(327,379,491) = ( 327 × 379 × 491 ) / 1

LCM(327,379,491) = 60851103 / 1

LCM(327,379,491) = 60851103


Lets's calculate GCF of 83,85,412

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60851103/1

Therefore the LCM of Fractions 327/83,379/85,491/412 is 60851103

Greatest Common Factor of 83,85,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,85,412 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Greatest Common Factor

We found the factors 83,85,412 . The biggest common factor number is the GCF number.
So the greatest common factor 83,85,412 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 327/83, 379/85, 491/412

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 327/83, 379/85, 491/412?

Answer: LCM of Numerators as per given numbers 327/83, 379/85, 491/412 is

LCM of Numerators i.e. for 327,379,491 is 60851103

GCF of denominators i.e. for 83,85,412 is 1.

Thus, LCM of Fractions is 60851103.Finally, LCM of Fractions for 327/83, 379/85, 491/412 is 60851103.