Least Common Multiple of 519/51, 798/3429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 519/51, 798/3429 quickly i.e. 46018 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 519/51, 798/3429 is 46018.

LCM(519/51, 798/3429) = 46018

LCM of 519/51, 798/3429

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 519/51,798/3429

Given numbers are 519/51,798/3429

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 519,798

Least Common Multiple of Numerators i.e. LCM of 519,798 is 138054.

GCF of Denominators means GCF of 51,3429 as per the given fractions.

GCF of 51,3429 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 519,798

LCM of Fractions 519/51,798/3429 is 46018

3 519, 798
173, 266

∴ So the LCM of the given numbers is 3 x 173 x 266 = 138054

Least Common Multiple of 519,798 with GCF Formula

Least Common Multiple of 519,798 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 519,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(519,798) = 3

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

GCF(519,798) x common factors =3 x 1 = 3

LCM(519,798) = ( 519 × 798 ) / 3

LCM(519,798) = 414162 / 3

LCM(519,798) = 138054


Lets's calculate GCF of 51,3429

3 51, 3429
17, 1143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138054/3

Therefore the LCM of Fractions 519/51,798/3429 is 46018

Greatest Common Factor of 51,3429 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,3429 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 3429

List of positive integer factors of 3429 that divides 3429 without a remainder.

1,3,9,27,127,381,1143,3429

Greatest Common Factor

We found the factors 51,3429 . The biggest common factor number is the GCF number.
So the greatest common factor 51,3429 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 519/51, 798/3429

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 519/51, 798/3429?

Answer: LCM of Numerators as per given numbers 519/51, 798/3429 is

LCM of Numerators i.e. for 519,798 is 138054

GCF of denominators i.e. for 51,3429 is 3.

Thus, LCM of Fractions is 46018.Finally, LCM of Fractions for 519/51, 798/3429 is 46018.