Least Common Multiple of 584/96, 612/1779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 584/96, 612/1779 quickly i.e. 29784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 584/96, 612/1779 is 29784.

LCM(584/96, 612/1779) = 29784

LCM of 584/96, 612/1779

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 584/96,612/1779

Given numbers are 584/96,612/1779

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 584,612

Least Common Multiple of Numerators i.e. LCM of 584,612 is 89352.

GCF of Denominators means GCF of 96,1779 as per the given fractions.

GCF of 96,1779 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 584,612

LCM of Fractions 584/96,612/1779 is 29784

2 584, 612
2 292, 306
146, 153

∴ So the LCM of the given numbers is 2 x 2 x 146 x 153 = 89352

Least Common Multiple of 584,612 with GCF Formula

Least Common Multiple of 584,612 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 584,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,612) = 4

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

GCF(584,612) x common factors =4 x 1 = 4

LCM(584,612) = ( 584 × 612 ) / 4

LCM(584,612) = 357408 / 4

LCM(584,612) = 89352


Lets's calculate GCF of 96,1779

3 96, 1779
32, 593

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89352/3

Therefore the LCM of Fractions 584/96,612/1779 is 29784

Greatest Common Factor of 96,1779 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,1779 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 1779

List of positive integer factors of 1779 that divides 1779 without a remainder.

1,3,593,1779

Greatest Common Factor

We found the factors 96,1779 . The biggest common factor number is the GCF number.
So the greatest common factor 96,1779 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 584/96, 612/1779

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 584/96, 612/1779?

Answer: LCM of Numerators as per given numbers 584/96, 612/1779 is

LCM of Numerators i.e. for 584,612 is 89352

GCF of denominators i.e. for 96,1779 is 3.

Thus, LCM of Fractions is 29784.Finally, LCM of Fractions for 584/96, 612/1779 is 29784.