Least Common Multiple of 519/144, 5775/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 519/144, 5775/996 quickly i.e. 999075/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 519/144, 5775/996 is 999075/12.

LCM(519/144, 5775/996) = 999075/12

LCM of 519/144, 5775/996

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 519/144,5775/996

Given numbers are 519/144,5775/996

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 519,5775

Least Common Multiple of Numerators i.e. LCM of 519,5775 is 999075.

GCF of Denominators means GCF of 144,996 as per the given fractions.

GCF of 144,996 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 519,5775

LCM of Fractions 519/144,5775/996 is 999075/12

3 519, 5775
173, 1925

∴ So the LCM of the given numbers is 3 x 173 x 1925 = 999075

Least Common Multiple of 519,5775 with GCF Formula

Least Common Multiple of 519,5775 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 519,5775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(519,5775) = 3

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

GCF(519,5775) x common factors =3 x 1 = 3

LCM(519,5775) = ( 519 × 5775 ) / 3

LCM(519,5775) = 2997225 / 3

LCM(519,5775) = 999075


Lets's calculate GCF of 144,996

2 144, 996
2 72, 498
3 36, 249
12, 83

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 999075/12

Therefore the LCM of Fractions 519/144,5775/996 is 999075/12

Greatest Common Factor of 144,996 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,996 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors 144,996 . The biggest common factor number is the GCF number.
So the greatest common factor 144,996 is 12.


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 519/144, 5775/996

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 519/144, 5775/996?

Answer: LCM of Numerators as per given numbers 519/144, 5775/996 is

LCM of Numerators i.e. for 519,5775 is 999075

GCF of denominators i.e. for 144,996 is 12.

Thus, LCM of Fractions is 999075/12.Finally, LCM of Fractions for 519/144, 5775/996 is 999075/12.