Least Common Multiple of 5222/384, 3938/519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5222/384, 3938/519 quickly i.e. 10282118/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5222/384, 3938/519 is 10282118/3.

LCM(5222/384, 3938/519) = 10282118/3

LCM of 5222/384, 3938/519

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 5222/384,3938/519

Given numbers are 5222/384,3938/519

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 5222,3938

Least Common Multiple of Numerators i.e. LCM of 5222,3938 is 10282118.

GCF of Denominators means GCF of 384,519 as per the given fractions.

GCF of 384,519 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5222,3938

LCM of Fractions 5222/384,3938/519 is 10282118/3

2 5222, 3938
2611, 1969

∴ So the LCM of the given numbers is 2 x 2611 x 1969 = 10282118

Least Common Multiple of 5222,3938 with GCF Formula

Least Common Multiple of 5222,3938 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 5222,3938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5222,3938) = 2

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

GCF(5222,3938) x common factors =2 x 1 = 2

LCM(5222,3938) = ( 5222 × 3938 ) / 2

LCM(5222,3938) = 20564236 / 2

LCM(5222,3938) = 10282118


Lets's calculate GCF of 384,519

3 384, 519
128, 173

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10282118/3

Therefore the LCM of Fractions 5222/384,3938/519 is 10282118/3

Greatest Common Factor of 384,519 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,519 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

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

Factors of 519

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

1,3,173,519

Greatest Common Factor

We found the factors 384,519 . The biggest common factor number is the GCF number.
So the greatest common factor 384,519 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 5222/384, 3938/519

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 5222/384, 3938/519?

Answer: LCM of Numerators as per given numbers 5222/384, 3938/519 is

LCM of Numerators i.e. for 5222,3938 is 10282118

GCF of denominators i.e. for 384,519 is 3.

Thus, LCM of Fractions is 10282118/3.Finally, LCM of Fractions for 5222/384, 3938/519 is 10282118/3.