Least Common Multiple of 5911/580, 1210/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5911/580, 1210/710 quickly i.e. 715231 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5911/580, 1210/710 is 715231.

LCM(5911/580, 1210/710) = 715231

LCM of 5911/580, 1210/710

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 5911/580,1210/710

Given numbers are 5911/580,1210/710

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 5911,1210

Least Common Multiple of Numerators i.e. LCM of 5911,1210 is 7152310.

GCF of Denominators means GCF of 580,710 as per the given fractions.

GCF of 580,710 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5911,1210

LCM of Fractions 5911/580,1210/710 is 715231

Given numbers has no common factors except 1. So, there LCM is their product i.e 7152310

Least Common Multiple of 5911,1210 with GCF Formula

Least Common Multiple of 5911,1210 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 5911,1210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5911,1210) = 1

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

GCF(5911,1210) x common factors =1 x 1 = 1

LCM(5911,1210) = ( 5911 × 1210 ) / 1

LCM(5911,1210) = 7152310 / 1

LCM(5911,1210) = 7152310


Lets's calculate GCF of 580,710

2 580, 710
5 290, 355
58, 71

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7152310/10

Therefore the LCM of Fractions 5911/580,1210/710 is 715231

Greatest Common Factor of 580,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,710 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 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors 580,710 . The biggest common factor number is the GCF number.
So the greatest common factor 580,710 is 10.


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 5911/580, 1210/710

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 5911/580, 1210/710?

Answer: LCM of Numerators as per given numbers 5911/580, 1210/710 is

LCM of Numerators i.e. for 5911,1210 is 7152310

GCF of denominators i.e. for 580,710 is 10.

Thus, LCM of Fractions is 715231.Finally, LCM of Fractions for 5911/580, 1210/710 is 715231.