Least Common Multiple of 25/242, 78/458, 959/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/242, 78/458, 959/500 quickly i.e. 935025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/242, 78/458, 959/500 is 935025.

LCM(25/242, 78/458, 959/500) = 935025

LCM of 25/242, 78/458, 959/500

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 25/242,78/458,959/500

Given numbers are 25/242,78/458,959/500

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 25,78,959

Least Common Multiple of Numerators i.e. LCM of 25,78,959 is 1870050.

GCF of Denominators means GCF of 242,458,500 as per the given fractions.

GCF of 242,458,500 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,78,959

LCM of Fractions 25/242,78/458,959/500 is 935025

Given numbers has no common factors except 1. So, there LCM is their product i.e 1870050

Least Common Multiple of 25,78,959 with GCF Formula

Least Common Multiple of 25,78,959 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 25,78,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,78,959) = 1

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

GCF(25,78,959) x common factors =1 x 1 = 1

LCM(25,78,959) = ( 25 × 78 × 959 ) / 1

LCM(25,78,959) = 1870050 / 1

LCM(25,78,959) = 1870050


Lets's calculate GCF of 242,458,500

2 242, 458, 500
121, 229, 250

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1870050/2

Therefore the LCM of Fractions 25/242,78/458,959/500 is 935025

Greatest Common Factor of 242,458,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 242,458,500 By Matching Biggest Common Factor Method

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

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 242,458,500 . The biggest common factor number is the GCF number.
So the greatest common factor 242,458,500 is 2.


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 25/242, 78/458, 959/500

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 25/242, 78/458, 959/500?

Answer: LCM of Numerators as per given numbers 25/242, 78/458, 959/500 is

LCM of Numerators i.e. for 25,78,959 is 1870050

GCF of denominators i.e. for 242,458,500 is 2.

Thus, LCM of Fractions is 935025.Finally, LCM of Fractions for 25/242, 78/458, 959/500 is 935025.