Least Common Multiple of 624/519, 1179/183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 624/519, 1179/183 quickly i.e. 81744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 624/519, 1179/183 is 81744.

LCM(624/519, 1179/183) = 81744

LCM of 624/519, 1179/183

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 624/519,1179/183

Given numbers are 624/519,1179/183

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 624,1179

Least Common Multiple of Numerators i.e. LCM of 624,1179 is 245232.

GCF of Denominators means GCF of 519,183 as per the given fractions.

GCF of 519,183 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 624,1179

LCM of Fractions 624/519,1179/183 is 81744

3 624, 1179
208, 393

∴ So the LCM of the given numbers is 3 x 208 x 393 = 245232

Least Common Multiple of 624,1179 with GCF Formula

Least Common Multiple of 624,1179 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 624,1179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,1179) = 3

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

GCF(624,1179) x common factors =3 x 1 = 3

LCM(624,1179) = ( 624 × 1179 ) / 3

LCM(624,1179) = 735696 / 3

LCM(624,1179) = 245232


Lets's calculate GCF of 519,183

3 519, 183
173, 61

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 245232/3

Therefore the LCM of Fractions 624/519,1179/183 is 81744

Greatest Common Factor of 519,183 By Matching Biggest Common Factor Method

Greatest Common Factor of 519,183 By Matching Biggest Common Factor Method

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Greatest Common Factor

We found the factors 519,183 . The biggest common factor number is the GCF number.
So the greatest common factor 519,183 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 624/519, 1179/183

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 624/519, 1179/183?

Answer: LCM of Numerators as per given numbers 624/519, 1179/183 is

LCM of Numerators i.e. for 624,1179 is 245232

GCF of denominators i.e. for 519,183 is 3.

Thus, LCM of Fractions is 81744.Finally, LCM of Fractions for 624/519, 1179/183 is 81744.