Least Common Multiple of 81/419, 349/471, 139/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/419, 349/471, 139/380 quickly i.e. 3929391 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/419, 349/471, 139/380 is 3929391.

LCM(81/419, 349/471, 139/380) = 3929391

LCM of 81/419, 349/471, 139/380

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 81/419,349/471,139/380

Given numbers are 81/419,349/471,139/380

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 81,349,139

Least Common Multiple of Numerators i.e. LCM of 81,349,139 is 3929391.

GCF of Denominators means GCF of 419,471,380 as per the given fractions.

GCF of 419,471,380 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,349,139

LCM of Fractions 81/419,349/471,139/380 is 3929391

Given numbers has no common factors except 1. So, there LCM is their product i.e 3929391

Least Common Multiple of 81,349,139 with GCF Formula

Least Common Multiple of 81,349,139 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 81,349,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,349,139) = 1

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

GCF(81,349,139) x common factors =1 x 1 = 1

LCM(81,349,139) = ( 81 × 349 × 139 ) / 1

LCM(81,349,139) = 3929391 / 1

LCM(81,349,139) = 3929391


Lets's calculate GCF of 419,471,380

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3929391/1

Therefore the LCM of Fractions 81/419,349/471,139/380 is 3929391

Greatest Common Factor of 419,471,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 419,471,380 By Matching Biggest Common Factor Method

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 419,471,380 . The biggest common factor number is the GCF number.
So the greatest common factor 419,471,380 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 81/419, 349/471, 139/380

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 81/419, 349/471, 139/380?

Answer: LCM of Numerators as per given numbers 81/419, 349/471, 139/380 is

LCM of Numerators i.e. for 81,349,139 is 3929391

GCF of denominators i.e. for 419,471,380 is 1.

Thus, LCM of Fractions is 3929391.Finally, LCM of Fractions for 81/419, 349/471, 139/380 is 3929391.