Least Common Multiple of 17/80, 41/371, 139/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/80, 41/371, 139/380 quickly i.e. 96883 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/80, 41/371, 139/380 is 96883.

LCM(17/80, 41/371, 139/380) = 96883

LCM of 17/80, 41/371, 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 17/80,41/371,139/380

Given numbers are 17/80,41/371,139/380

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 17,41,139

Least Common Multiple of Numerators i.e. LCM of 17,41,139 is 96883.

GCF of Denominators means GCF of 80,371,380 as per the given fractions.

GCF of 80,371,380 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,41,139

LCM of Fractions 17/80,41/371,139/380 is 96883

Given numbers has no common factors except 1. So, there LCM is their product i.e 96883

Least Common Multiple of 17,41,139 with GCF Formula

Least Common Multiple of 17,41,139 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 17,41,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,41,139) = 1

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

GCF(17,41,139) x common factors =1 x 1 = 1

LCM(17,41,139) = ( 17 × 41 × 139 ) / 1

LCM(17,41,139) = 96883 / 1

LCM(17,41,139) = 96883


Lets's calculate GCF of 80,371,380

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96883/1

Therefore the LCM of Fractions 17/80,41/371,139/380 is 96883

Greatest Common Factor of 80,371,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,371,380 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

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 80,371,380 . The biggest common factor number is the GCF number.
So the greatest common factor 80,371,380 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 17/80, 41/371, 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 17/80, 41/371, 139/380?

Answer: LCM of Numerators as per given numbers 17/80, 41/371, 139/380 is

LCM of Numerators i.e. for 17,41,139 is 96883

GCF of denominators i.e. for 80,371,380 is 1.

Thus, LCM of Fractions is 96883.Finally, LCM of Fractions for 17/80, 41/371, 139/380 is 96883.