Least Common Multiple of 458/29, 415/95, 596/131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 458/29, 415/95, 596/131 quickly i.e. 56640860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 458/29, 415/95, 596/131 is 56640860.

LCM(458/29, 415/95, 596/131) = 56640860

LCM of 458/29, 415/95, 596/131

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 458/29,415/95,596/131

Given numbers are 458/29,415/95,596/131

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 458,415,596

Least Common Multiple of Numerators i.e. LCM of 458,415,596 is 56640860.

GCF of Denominators means GCF of 29,95,131 as per the given fractions.

GCF of 29,95,131 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 458,415,596

LCM of Fractions 458/29,415/95,596/131 is 56640860

2 458, 415, 596
229, 415, 298

∴ So the LCM of the given numbers is 2 x 229 x 415 x 298 = 56640860

Least Common Multiple of 458,415,596 with GCF Formula

Least Common Multiple of 458,415,596 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 458,415,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,415,596) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(458,415,596) x common factors =1 x 2 = 2

LCM(458,415,596) = ( 458 × 415 × 596 ) / 2

LCM(458,415,596) = 113281720 / 2

LCM(458,415,596) = 56640860


Lets's calculate GCF of 29,95,131

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56640860/1

Therefore the LCM of Fractions 458/29,415/95,596/131 is 56640860

Greatest Common Factor of 29,95,131 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,95,131 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Greatest Common Factor

We found the factors 29,95,131 . The biggest common factor number is the GCF number.
So the greatest common factor 29,95,131 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 458/29, 415/95, 596/131

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 458/29, 415/95, 596/131?

Answer: LCM of Numerators as per given numbers 458/29, 415/95, 596/131 is

LCM of Numerators i.e. for 458,415,596 is 56640860

GCF of denominators i.e. for 29,95,131 is 1.

Thus, LCM of Fractions is 56640860.Finally, LCM of Fractions for 458/29, 415/95, 596/131 is 56640860.