Least Common Multiple of 627/231, 3817/519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 627/231, 3817/519 quickly i.e. 72523 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 627/231, 3817/519 is 72523.

LCM(627/231, 3817/519) = 72523

LCM of 627/231, 3817/519

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 627/231,3817/519

Given numbers are 627/231,3817/519

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 627,3817

Least Common Multiple of Numerators i.e. LCM of 627,3817 is 217569.

GCF of Denominators means GCF of 231,519 as per the given fractions.

GCF of 231,519 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 627,3817

LCM of Fractions 627/231,3817/519 is 72523

11 627, 3817
57, 347

∴ So the LCM of the given numbers is 11 x 57 x 347 = 217569

Least Common Multiple of 627,3817 with GCF Formula

Least Common Multiple of 627,3817 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 627,3817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(627,3817) = 11

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

GCF(627,3817) x common factors =11 x 1 = 11

LCM(627,3817) = ( 627 × 3817 ) / 11

LCM(627,3817) = 2393259 / 11

LCM(627,3817) = 217569


Lets's calculate GCF of 231,519

3 231, 519
77, 173

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 217569/3

Therefore the LCM of Fractions 627/231,3817/519 is 72523

Greatest Common Factor of 231,519 By Matching Biggest Common Factor Method

Greatest Common Factor of 231,519 By Matching Biggest Common Factor Method

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

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 231,519 . The biggest common factor number is the GCF number.
So the greatest common factor 231,519 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 627/231, 3817/519

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 627/231, 3817/519?

Answer: LCM of Numerators as per given numbers 627/231, 3817/519 is

LCM of Numerators i.e. for 627,3817 is 217569

GCF of denominators i.e. for 231,519 is 3.

Thus, LCM of Fractions is 72523.Finally, LCM of Fractions for 627/231, 3817/519 is 72523.