Least Common Multiple of 58/915, 584/558, 674/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/915, 584/558, 674/310 quickly i.e. 5707432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/915, 584/558, 674/310 is 5707432.

LCM(58/915, 584/558, 674/310) = 5707432

LCM of 58/915, 584/558, 674/310

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 58/915,584/558,674/310

Given numbers are 58/915,584/558,674/310

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 58,584,674

Least Common Multiple of Numerators i.e. LCM of 58,584,674 is 5707432.

GCF of Denominators means GCF of 915,558,310 as per the given fractions.

GCF of 915,558,310 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,584,674

LCM of Fractions 58/915,584/558,674/310 is 5707432

2 58, 584, 674
29, 292, 337

∴ So the LCM of the given numbers is 2 x 29 x 292 x 337 = 5707432

Least Common Multiple of 58,584,674 with GCF Formula

Least Common Multiple of 58,584,674 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 58,584,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,584,674) = 2

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

GCF(58,584,674) x common factors =2 x 2 = 4

LCM(58,584,674) = ( 58 × 584 × 674 ) / 4

LCM(58,584,674) = 22829728 / 4

LCM(58,584,674) = 5707432


Lets's calculate GCF of 915,558,310

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5707432/1

Therefore the LCM of Fractions 58/915,584/558,674/310 is 5707432

Greatest Common Factor of 915,558,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 915,558,310 By Matching Biggest Common Factor Method

Factors of 915

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

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

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 915,558,310 . The biggest common factor number is the GCF number.
So the greatest common factor 915,558,310 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 58/915, 584/558, 674/310

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 58/915, 584/558, 674/310?

Answer: LCM of Numerators as per given numbers 58/915, 584/558, 674/310 is

LCM of Numerators i.e. for 58,584,674 is 5707432

GCF of denominators i.e. for 915,558,310 is 1.

Thus, LCM of Fractions is 5707432.Finally, LCM of Fractions for 58/915, 584/558, 674/310 is 5707432.