Least Common Multiple of 584/768, 883/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 584/768, 883/640 quickly i.e. 515672/128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 584/768, 883/640 is 515672/128.

LCM(584/768, 883/640) = 515672/128

LCM of 584/768, 883/640

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 584/768,883/640

Given numbers are 584/768,883/640

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 584,883

Least Common Multiple of Numerators i.e. LCM of 584,883 is 515672.

GCF of Denominators means GCF of 768,640 as per the given fractions.

GCF of 768,640 is 128 as it is the largest common factor for these numbers.

Lets's calculate LCM of 584,883

LCM of Fractions 584/768,883/640 is 515672/128

Given numbers has no common factors except 1. So, there LCM is their product i.e 515672

Least Common Multiple of 584,883 with GCF Formula

Least Common Multiple of 584,883 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 584,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,883) = 1

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

GCF(584,883) x common factors =1 x 1 = 1

LCM(584,883) = ( 584 × 883 ) / 1

LCM(584,883) = 515672 / 1

LCM(584,883) = 515672


Lets's calculate GCF of 768,640

2 768, 640
2 384, 320
2 192, 160
2 96, 80
2 48, 40
2 24, 20
2 12, 10
6, 5

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 = 128

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 515672/128

Therefore the LCM of Fractions 584/768,883/640 is 515672/128

Greatest Common Factor of 768,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,640 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Greatest Common Factor

We found the factors 768,640 . The biggest common factor number is the GCF number.
So the greatest common factor 768,640 is 128.


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 584/768, 883/640

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 584/768, 883/640?

Answer: LCM of Numerators as per given numbers 584/768, 883/640 is

LCM of Numerators i.e. for 584,883 is 515672

GCF of denominators i.e. for 768,640 is 128.

Thus, LCM of Fractions is 515672/128.Finally, LCM of Fractions for 584/768, 883/640 is 515672/128.