Least Common Multiple of 980/580, 215/400, 691/273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 980/580, 215/400, 691/273 quickly i.e. 29118740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 980/580, 215/400, 691/273 is 29118740.

LCM(980/580, 215/400, 691/273) = 29118740

LCM of 980/580, 215/400, 691/273

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 980/580,215/400,691/273

Given numbers are 980/580,215/400,691/273

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 980,215,691

Least Common Multiple of Numerators i.e. LCM of 980,215,691 is 29118740.

GCF of Denominators means GCF of 580,400,273 as per the given fractions.

GCF of 580,400,273 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 980,215,691

LCM of Fractions 980/580,215/400,691/273 is 29118740

5 980, 215, 691
196, 43, 691

∴ So the LCM of the given numbers is 5 x 196 x 43 x 691 = 29118740

Least Common Multiple of 980,215,691 with GCF Formula

Least Common Multiple of 980,215,691 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 980,215,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,215,691) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(980,215,691) x common factors =1 x 5 = 5

LCM(980,215,691) = ( 980 × 215 × 691 ) / 5

LCM(980,215,691) = 145593700 / 5

LCM(980,215,691) = 29118740


Lets's calculate GCF of 580,400,273

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29118740/1

Therefore the LCM of Fractions 980/580,215/400,691/273 is 29118740

Greatest Common Factor of 580,400,273 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,400,273 By Matching Biggest Common Factor Method

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Greatest Common Factor

We found the factors 580,400,273 . The biggest common factor number is the GCF number.
So the greatest common factor 580,400,273 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 980/580, 215/400, 691/273

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 980/580, 215/400, 691/273?

Answer: LCM of Numerators as per given numbers 980/580, 215/400, 691/273 is

LCM of Numerators i.e. for 980,215,691 is 29118740

GCF of denominators i.e. for 580,400,273 is 1.

Thus, LCM of Fractions is 29118740.Finally, LCM of Fractions for 980/580, 215/400, 691/273 is 29118740.