Least Common Multiple of 258/519, 5616/3513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 258/519, 5616/3513 quickly i.e. 80496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 258/519, 5616/3513 is 80496.

LCM(258/519, 5616/3513) = 80496

LCM of 258/519, 5616/3513

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 258/519,5616/3513

Given numbers are 258/519,5616/3513

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 258,5616

Least Common Multiple of Numerators i.e. LCM of 258,5616 is 241488.

GCF of Denominators means GCF of 519,3513 as per the given fractions.

GCF of 519,3513 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 258,5616

LCM of Fractions 258/519,5616/3513 is 80496

2 258, 5616
3 129, 2808
43, 936

∴ So the LCM of the given numbers is 2 x 3 x 43 x 936 = 241488

Least Common Multiple of 258,5616 with GCF Formula

Least Common Multiple of 258,5616 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 258,5616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,5616) = 6

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

GCF(258,5616) x common factors =6 x 1 = 6

LCM(258,5616) = ( 258 × 5616 ) / 6

LCM(258,5616) = 1448928 / 6

LCM(258,5616) = 241488


Lets's calculate GCF of 519,3513

3 519, 3513
173, 1171

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 241488/3

Therefore the LCM of Fractions 258/519,5616/3513 is 80496

Greatest Common Factor of 519,3513 By Matching Biggest Common Factor Method

Greatest Common Factor of 519,3513 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 3513

List of positive integer factors of 3513 that divides 3513 without a remainder.

1,3,1171,3513

Greatest Common Factor

We found the factors 519,3513 . The biggest common factor number is the GCF number.
So the greatest common factor 519,3513 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 258/519, 5616/3513

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 258/519, 5616/3513?

Answer: LCM of Numerators as per given numbers 258/519, 5616/3513 is

LCM of Numerators i.e. for 258,5616 is 241488

GCF of denominators i.e. for 519,3513 is 3.

Thus, LCM of Fractions is 80496.Finally, LCM of Fractions for 258/519, 5616/3513 is 80496.