Least Common Multiple of 75/940, 136/589, 159/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/940, 136/589, 159/915 quickly i.e. 540600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/940, 136/589, 159/915 is 540600.

LCM(75/940, 136/589, 159/915) = 540600

LCM of 75/940, 136/589, 159/915

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 75/940,136/589,159/915

Given numbers are 75/940,136/589,159/915

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 75,136,159

Least Common Multiple of Numerators i.e. LCM of 75,136,159 is 540600.

GCF of Denominators means GCF of 940,589,915 as per the given fractions.

GCF of 940,589,915 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,136,159

LCM of Fractions 75/940,136/589,159/915 is 540600

3 75, 136, 159
25, 136, 53

∴ So the LCM of the given numbers is 3 x 25 x 136 x 53 = 540600

Least Common Multiple of 75,136,159 with GCF Formula

Least Common Multiple of 75,136,159 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 75,136,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,136,159) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(75,136,159) x common factors =1 x 3 = 3

LCM(75,136,159) = ( 75 × 136 × 159 ) / 3

LCM(75,136,159) = 1621800 / 3

LCM(75,136,159) = 540600


Lets's calculate GCF of 940,589,915

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 540600/1

Therefore the LCM of Fractions 75/940,136/589,159/915 is 540600

Greatest Common Factor of 940,589,915 By Matching Biggest Common Factor Method

Greatest Common Factor of 940,589,915 By Matching Biggest Common Factor Method

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 940,589,915 . The biggest common factor number is the GCF number.
So the greatest common factor 940,589,915 is 1.


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 75/940, 136/589, 159/915

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 75/940, 136/589, 159/915?

Answer: LCM of Numerators as per given numbers 75/940, 136/589, 159/915 is

LCM of Numerators i.e. for 75,136,159 is 540600

GCF of denominators i.e. for 940,589,915 is 1.

Thus, LCM of Fractions is 540600.Finally, LCM of Fractions for 75/940, 136/589, 159/915 is 540600.