Least Common Multiple of 589/479, 294/991, 511/643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 589/479, 294/991, 511/643 quickly i.e. 12641118 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 589/479, 294/991, 511/643 is 12641118.

LCM(589/479, 294/991, 511/643) = 12641118

LCM of 589/479, 294/991, 511/643

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 589/479,294/991,511/643

Given numbers are 589/479,294/991,511/643

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 589,294,511

Least Common Multiple of Numerators i.e. LCM of 589,294,511 is 12641118.

GCF of Denominators means GCF of 479,991,643 as per the given fractions.

GCF of 479,991,643 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 589,294,511

LCM of Fractions 589/479,294/991,511/643 is 12641118

7 589, 294, 511
589, 42, 73

∴ So the LCM of the given numbers is 7 x 589 x 42 x 73 = 12641118

Least Common Multiple of 589,294,511 with GCF Formula

Least Common Multiple of 589,294,511 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 589,294,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(589,294,511) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(589,294,511) x common factors =1 x 7 = 7

LCM(589,294,511) = ( 589 × 294 × 511 ) / 7

LCM(589,294,511) = 88487826 / 7

LCM(589,294,511) = 12641118


Lets's calculate GCF of 479,991,643

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12641118/1

Therefore the LCM of Fractions 589/479,294/991,511/643 is 12641118

Greatest Common Factor of 479,991,643 By Matching Biggest Common Factor Method

Greatest Common Factor of 479,991,643 By Matching Biggest Common Factor Method

Factors of 479

List of positive integer factors of 479 that divides 479 without a remainder.

1,479

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Greatest Common Factor

We found the factors 479,991,643 . The biggest common factor number is the GCF number.
So the greatest common factor 479,991,643 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 589/479, 294/991, 511/643

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 589/479, 294/991, 511/643?

Answer: LCM of Numerators as per given numbers 589/479, 294/991, 511/643 is

LCM of Numerators i.e. for 589,294,511 is 12641118

GCF of denominators i.e. for 479,991,643 is 1.

Thus, LCM of Fractions is 12641118.Finally, LCM of Fractions for 589/479, 294/991, 511/643 is 12641118.