Least Common Multiple of 239/600, 531/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 239/600, 531/115 quickly i.e. 126909/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 239/600, 531/115 is 126909/5.

LCM(239/600, 531/115) = 126909/5

LCM of 239/600, 531/115

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 239/600,531/115

Given numbers are 239/600,531/115

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 239,531

Least Common Multiple of Numerators i.e. LCM of 239,531 is 126909.

GCF of Denominators means GCF of 600,115 as per the given fractions.

GCF of 600,115 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 239,531

LCM of Fractions 239/600,531/115 is 126909/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 126909

Least Common Multiple of 239,531 with GCF Formula

Least Common Multiple of 239,531 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 239,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(239,531) = 1

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

GCF(239,531) x common factors =1 x 1 = 1

LCM(239,531) = ( 239 × 531 ) / 1

LCM(239,531) = 126909 / 1

LCM(239,531) = 126909


Lets's calculate GCF of 600,115

5 600, 115
120, 23

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126909/5

Therefore the LCM of Fractions 239/600,531/115 is 126909/5

Greatest Common Factor of 600,115 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,115 By Matching Biggest Common Factor Method

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Greatest Common Factor

We found the factors 600,115 . The biggest common factor number is the GCF number.
So the greatest common factor 600,115 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 239/600, 531/115

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 239/600, 531/115?

Answer: LCM of Numerators as per given numbers 239/600, 531/115 is

LCM of Numerators i.e. for 239,531 is 126909

GCF of denominators i.e. for 600,115 is 5.

Thus, LCM of Fractions is 126909/5.Finally, LCM of Fractions for 239/600, 531/115 is 126909/5.