Least Common Multiple of 627/771, 540/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 627/771, 540/514 quickly i.e. 112860/257 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 627/771, 540/514 is 112860/257.

LCM(627/771, 540/514) = 112860/257

LCM of 627/771, 540/514

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 627/771,540/514

Given numbers are 627/771,540/514

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 627,540

Least Common Multiple of Numerators i.e. LCM of 627,540 is 112860.

GCF of Denominators means GCF of 771,514 as per the given fractions.

GCF of 771,514 is 257 as it is the largest common factor for these numbers.

Lets's calculate LCM of 627,540

LCM of Fractions 627/771,540/514 is 112860/257

3 627, 540
209, 180

∴ So the LCM of the given numbers is 3 x 209 x 180 = 112860

Least Common Multiple of 627,540 with GCF Formula

Least Common Multiple of 627,540 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 627,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(627,540) = 3

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

GCF(627,540) x common factors =3 x 1 = 3

LCM(627,540) = ( 627 × 540 ) / 3

LCM(627,540) = 338580 / 3

LCM(627,540) = 112860


Lets's calculate GCF of 771,514

257 771, 514
3, 2

∴ So the GCF of the given numbers is 257 = 257

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112860/257

Therefore the LCM of Fractions 627/771,540/514 is 112860/257

Greatest Common Factor of 771,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 771,514 By Matching Biggest Common Factor Method

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 771,514 . The biggest common factor number is the GCF number.
So the greatest common factor 771,514 is 257.


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 627/771, 540/514

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 627/771, 540/514?

Answer: LCM of Numerators as per given numbers 627/771, 540/514 is

LCM of Numerators i.e. for 627,540 is 112860

GCF of denominators i.e. for 771,514 is 257.

Thus, LCM of Fractions is 112860/257.Finally, LCM of Fractions for 627/771, 540/514 is 112860/257.