Least Common Multiple of 61/580, 58/290, 113/445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/580, 58/290, 113/445 quickly i.e. 399794/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/580, 58/290, 113/445 is 399794/5.

LCM(61/580, 58/290, 113/445) = 399794/5

LCM of 61/580, 58/290, 113/445

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 61/580,58/290,113/445

Given numbers are 61/580,58/290,113/445

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 61,58,113

Least Common Multiple of Numerators i.e. LCM of 61,58,113 is 399794.

GCF of Denominators means GCF of 580,290,445 as per the given fractions.

GCF of 580,290,445 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,58,113

LCM of Fractions 61/580,58/290,113/445 is 399794/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 399794

Least Common Multiple of 61,58,113 with GCF Formula

Least Common Multiple of 61,58,113 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 61,58,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,58,113) = 1

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

GCF(61,58,113) x common factors =1 x 1 = 1

LCM(61,58,113) = ( 61 × 58 × 113 ) / 1

LCM(61,58,113) = 399794 / 1

LCM(61,58,113) = 399794


Lets's calculate GCF of 580,290,445

5 580, 290, 445
116, 58, 89

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 399794/5

Therefore the LCM of Fractions 61/580,58/290,113/445 is 399794/5

Greatest Common Factor of 580,290,445 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,290,445 By Matching Biggest Common Factor Method

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Greatest Common Factor

We found the factors 580,290,445 . The biggest common factor number is the GCF number.
So the greatest common factor 580,290,445 is 5.


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 61/580, 58/290, 113/445

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 61/580, 58/290, 113/445?

Answer: LCM of Numerators as per given numbers 61/580, 58/290, 113/445 is

LCM of Numerators i.e. for 61,58,113 is 399794

GCF of denominators i.e. for 580,290,445 is 5.

Thus, LCM of Fractions is 399794/5.Finally, LCM of Fractions for 61/580, 58/290, 113/445 is 399794/5.