Least Common Multiple of 582/90, 563/12, 764/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 582/90, 563/12, 764/861 quickly i.e. 41722804 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 582/90, 563/12, 764/861 is 41722804.

LCM(582/90, 563/12, 764/861) = 41722804

LCM of 582/90, 563/12, 764/861

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 582/90,563/12,764/861

Given numbers are 582/90,563/12,764/861

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 582,563,764

Least Common Multiple of Numerators i.e. LCM of 582,563,764 is 125168412.

GCF of Denominators means GCF of 90,12,861 as per the given fractions.

GCF of 90,12,861 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 582,563,764

LCM of Fractions 582/90,563/12,764/861 is 41722804

2 582, 563, 764
291, 563, 382

∴ So the LCM of the given numbers is 2 x 291 x 563 x 382 = 125168412

Least Common Multiple of 582,563,764 with GCF Formula

Least Common Multiple of 582,563,764 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 582,563,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(582,563,764) = 1

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

GCF(582,563,764) x common factors =1 x 2 = 2

LCM(582,563,764) = ( 582 × 563 × 764 ) / 2

LCM(582,563,764) = 250336824 / 2

LCM(582,563,764) = 125168412


Lets's calculate GCF of 90,12,861

3 90, 12, 861
30, 4, 287

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 125168412/3

Therefore the LCM of Fractions 582/90,563/12,764/861 is 41722804

Greatest Common Factor of 90,12,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,12,861 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 90,12,861 . The biggest common factor number is the GCF number.
So the greatest common factor 90,12,861 is 3.


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 582/90, 563/12, 764/861

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 582/90, 563/12, 764/861?

Answer: LCM of Numerators as per given numbers 582/90, 563/12, 764/861 is

LCM of Numerators i.e. for 582,563,764 is 125168412

GCF of denominators i.e. for 90,12,861 is 3.

Thus, LCM of Fractions is 41722804.Finally, LCM of Fractions for 582/90, 563/12, 764/861 is 41722804.