Least Common Multiple of 584/309, 270/851, 183/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 584/309, 270/851, 183/992 quickly i.e. 4809240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 584/309, 270/851, 183/992 is 4809240.

LCM(584/309, 270/851, 183/992) = 4809240

LCM of 584/309, 270/851, 183/992

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 584/309,270/851,183/992

Given numbers are 584/309,270/851,183/992

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 584,270,183

Least Common Multiple of Numerators i.e. LCM of 584,270,183 is 4809240.

GCF of Denominators means GCF of 309,851,992 as per the given fractions.

GCF of 309,851,992 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 584,270,183

LCM of Fractions 584/309,270/851,183/992 is 4809240

2 584, 270, 183
3 292, 135, 183
292, 45, 61

∴ So the LCM of the given numbers is 2 x 3 x 292 x 45 x 61 = 4809240

Least Common Multiple of 584,270,183 with GCF Formula

Least Common Multiple of 584,270,183 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 584,270,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,270,183) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(584,270,183) x common factors =1 x 6 = 6

LCM(584,270,183) = ( 584 × 270 × 183 ) / 6

LCM(584,270,183) = 28855440 / 6

LCM(584,270,183) = 4809240


Lets's calculate GCF of 309,851,992

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4809240/1

Therefore the LCM of Fractions 584/309,270/851,183/992 is 4809240

Greatest Common Factor of 309,851,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 309,851,992 By Matching Biggest Common Factor Method

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 309,851,992 . The biggest common factor number is the GCF number.
So the greatest common factor 309,851,992 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 584/309, 270/851, 183/992

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 584/309, 270/851, 183/992?

Answer: LCM of Numerators as per given numbers 584/309, 270/851, 183/992 is

LCM of Numerators i.e. for 584,270,183 is 4809240

GCF of denominators i.e. for 309,851,992 is 1.

Thus, LCM of Fractions is 4809240.Finally, LCM of Fractions for 584/309, 270/851, 183/992 is 4809240.