Least Common Multiple of 59/815, 230/180, 539/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/815, 230/180, 539/950 quickly i.e. 1462846 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/815, 230/180, 539/950 is 1462846.

LCM(59/815, 230/180, 539/950) = 1462846

LCM of 59/815, 230/180, 539/950

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 59/815,230/180,539/950

Given numbers are 59/815,230/180,539/950

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 59,230,539

Least Common Multiple of Numerators i.e. LCM of 59,230,539 is 7314230.

GCF of Denominators means GCF of 815,180,950 as per the given fractions.

GCF of 815,180,950 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,230,539

LCM of Fractions 59/815,230/180,539/950 is 1462846

Given numbers has no common factors except 1. So, there LCM is their product i.e 7314230

Least Common Multiple of 59,230,539 with GCF Formula

Least Common Multiple of 59,230,539 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 59,230,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,230,539) = 1

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

GCF(59,230,539) x common factors =1 x 1 = 1

LCM(59,230,539) = ( 59 × 230 × 539 ) / 1

LCM(59,230,539) = 7314230 / 1

LCM(59,230,539) = 7314230


Lets's calculate GCF of 815,180,950

5 815, 180, 950
163, 36, 190

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7314230/5

Therefore the LCM of Fractions 59/815,230/180,539/950 is 1462846

Greatest Common Factor of 815,180,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 815,180,950 By Matching Biggest Common Factor Method

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 815,180,950 . The biggest common factor number is the GCF number.
So the greatest common factor 815,180,950 is 5.


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 59/815, 230/180, 539/950

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 59/815, 230/180, 539/950?

Answer: LCM of Numerators as per given numbers 59/815, 230/180, 539/950 is

LCM of Numerators i.e. for 59,230,539 is 7314230

GCF of denominators i.e. for 815,180,950 is 5.

Thus, LCM of Fractions is 1462846.Finally, LCM of Fractions for 59/815, 230/180, 539/950 is 1462846.