Least Common Multiple of 591/870, 5469/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 591/870, 5469/500 quickly i.e. 1077393/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 591/870, 5469/500 is 1077393/10.

LCM(591/870, 5469/500) = 1077393/10

LCM of 591/870, 5469/500

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 591/870,5469/500

Given numbers are 591/870,5469/500

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 591,5469

Least Common Multiple of Numerators i.e. LCM of 591,5469 is 1077393.

GCF of Denominators means GCF of 870,500 as per the given fractions.

GCF of 870,500 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 591,5469

LCM of Fractions 591/870,5469/500 is 1077393/10

3 591, 5469
197, 1823

∴ So the LCM of the given numbers is 3 x 197 x 1823 = 1077393

Least Common Multiple of 591,5469 with GCF Formula

Least Common Multiple of 591,5469 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 591,5469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(591,5469) = 3

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

GCF(591,5469) x common factors =3 x 1 = 3

LCM(591,5469) = ( 591 × 5469 ) / 3

LCM(591,5469) = 3232179 / 3

LCM(591,5469) = 1077393


Lets's calculate GCF of 870,500

2 870, 500
5 435, 250
87, 50

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1077393/10

Therefore the LCM of Fractions 591/870,5469/500 is 1077393/10

Greatest Common Factor of 870,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,500 By Matching Biggest Common Factor Method

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 870,500 . The biggest common factor number is the GCF number.
So the greatest common factor 870,500 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 591/870, 5469/500

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 591/870, 5469/500?

Answer: LCM of Numerators as per given numbers 591/870, 5469/500 is

LCM of Numerators i.e. for 591,5469 is 1077393

GCF of denominators i.e. for 870,500 is 10.

Thus, LCM of Fractions is 1077393/10.Finally, LCM of Fractions for 591/870, 5469/500 is 1077393/10.