Least Common Multiple of 58/582, 70/446, 305/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/582, 70/446, 305/866 quickly i.e. 61915 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/582, 70/446, 305/866 is 61915.

LCM(58/582, 70/446, 305/866) = 61915

LCM of 58/582, 70/446, 305/866

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 58/582,70/446,305/866

Given numbers are 58/582,70/446,305/866

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 58,70,305

Least Common Multiple of Numerators i.e. LCM of 58,70,305 is 123830.

GCF of Denominators means GCF of 582,446,866 as per the given fractions.

GCF of 582,446,866 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,70,305

LCM of Fractions 58/582,70/446,305/866 is 61915

2 58, 70, 305
5 29, 35, 305
29, 7, 61

∴ So the LCM of the given numbers is 2 x 5 x 29 x 7 x 61 = 123830

Least Common Multiple of 58,70,305 with GCF Formula

Least Common Multiple of 58,70,305 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 58,70,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,70,305) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(58,70,305) x common factors =1 x 10 = 10

LCM(58,70,305) = ( 58 × 70 × 305 ) / 10

LCM(58,70,305) = 1238300 / 10

LCM(58,70,305) = 123830


Lets's calculate GCF of 582,446,866

2 582, 446, 866
291, 223, 433

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123830/2

Therefore the LCM of Fractions 58/582,70/446,305/866 is 61915

Greatest Common Factor of 582,446,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 582,446,866 By Matching Biggest Common Factor Method

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 582,446,866 . The biggest common factor number is the GCF number.
So the greatest common factor 582,446,866 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 58/582, 70/446, 305/866

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 58/582, 70/446, 305/866?

Answer: LCM of Numerators as per given numbers 58/582, 70/446, 305/866 is

LCM of Numerators i.e. for 58,70,305 is 123830

GCF of denominators i.e. for 582,446,866 is 2.

Thus, LCM of Fractions is 61915.Finally, LCM of Fractions for 58/582, 70/446, 305/866 is 61915.