Least Common Multiple of 519/75, 8166/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 519/75, 8166/378 quickly i.e. 470906 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 519/75, 8166/378 is 470906.

LCM(519/75, 8166/378) = 470906

LCM of 519/75, 8166/378

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 519/75,8166/378

Given numbers are 519/75,8166/378

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 519,8166

Least Common Multiple of Numerators i.e. LCM of 519,8166 is 1412718.

GCF of Denominators means GCF of 75,378 as per the given fractions.

GCF of 75,378 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 519,8166

LCM of Fractions 519/75,8166/378 is 470906

3 519, 8166
173, 2722

∴ So the LCM of the given numbers is 3 x 173 x 2722 = 1412718

Least Common Multiple of 519,8166 with GCF Formula

Least Common Multiple of 519,8166 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 519,8166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(519,8166) = 3

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

GCF(519,8166) x common factors =3 x 1 = 3

LCM(519,8166) = ( 519 × 8166 ) / 3

LCM(519,8166) = 4238154 / 3

LCM(519,8166) = 1412718


Lets's calculate GCF of 75,378

3 75, 378
25, 126

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1412718/3

Therefore the LCM of Fractions 519/75,8166/378 is 470906

Greatest Common Factor of 75,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,378 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors 75,378 . The biggest common factor number is the GCF number.
So the greatest common factor 75,378 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 519/75, 8166/378

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 519/75, 8166/378?

Answer: LCM of Numerators as per given numbers 519/75, 8166/378 is

LCM of Numerators i.e. for 519,8166 is 1412718

GCF of denominators i.e. for 75,378 is 3.

Thus, LCM of Fractions is 470906.Finally, LCM of Fractions for 519/75, 8166/378 is 470906.