Least Common Multiple of 584/984, 290/587, 591/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 584/984, 290/587, 591/213 quickly i.e. 50045880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 584/984, 290/587, 591/213 is 50045880.

LCM(584/984, 290/587, 591/213) = 50045880

LCM of 584/984, 290/587, 591/213

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 584/984,290/587,591/213

Given numbers are 584/984,290/587,591/213

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 584,290,591

Least Common Multiple of Numerators i.e. LCM of 584,290,591 is 50045880.

GCF of Denominators means GCF of 984,587,213 as per the given fractions.

GCF of 984,587,213 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 584,290,591

LCM of Fractions 584/984,290/587,591/213 is 50045880

2 584, 290, 591
292, 145, 591

∴ So the LCM of the given numbers is 2 x 292 x 145 x 591 = 50045880

Least Common Multiple of 584,290,591 with GCF Formula

Least Common Multiple of 584,290,591 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 584,290,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,290,591) = 1

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

GCF(584,290,591) x common factors =1 x 2 = 2

LCM(584,290,591) = ( 584 × 290 × 591 ) / 2

LCM(584,290,591) = 100091760 / 2

LCM(584,290,591) = 50045880


Lets's calculate GCF of 984,587,213

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50045880/1

Therefore the LCM of Fractions 584/984,290/587,591/213 is 50045880

Greatest Common Factor of 984,587,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 984,587,213 By Matching Biggest Common Factor Method

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 984,587,213 . The biggest common factor number is the GCF number.
So the greatest common factor 984,587,213 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 584/984, 290/587, 591/213

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 584/984, 290/587, 591/213?

Answer: LCM of Numerators as per given numbers 584/984, 290/587, 591/213 is

LCM of Numerators i.e. for 584,290,591 is 50045880

GCF of denominators i.e. for 984,587,213 is 1.

Thus, LCM of Fractions is 50045880.Finally, LCM of Fractions for 584/984, 290/587, 591/213 is 50045880.