Least Common Multiple of 727/521, 522/771, 578/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 727/521, 522/771, 578/404 quickly i.e. 109673766 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 727/521, 522/771, 578/404 is 109673766.

LCM(727/521, 522/771, 578/404) = 109673766

LCM of 727/521, 522/771, 578/404

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 727/521,522/771,578/404

Given numbers are 727/521,522/771,578/404

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 727,522,578

Least Common Multiple of Numerators i.e. LCM of 727,522,578 is 109673766.

GCF of Denominators means GCF of 521,771,404 as per the given fractions.

GCF of 521,771,404 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 727,522,578

LCM of Fractions 727/521,522/771,578/404 is 109673766

2 727, 522, 578
727, 261, 289

∴ So the LCM of the given numbers is 2 x 727 x 261 x 289 = 109673766

Least Common Multiple of 727,522,578 with GCF Formula

Least Common Multiple of 727,522,578 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 727,522,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(727,522,578) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(727,522,578) x common factors =1 x 2 = 2

LCM(727,522,578) = ( 727 × 522 × 578 ) / 2

LCM(727,522,578) = 219347532 / 2

LCM(727,522,578) = 109673766


Lets's calculate GCF of 521,771,404

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109673766/1

Therefore the LCM of Fractions 727/521,522/771,578/404 is 109673766

Greatest Common Factor of 521,771,404 By Matching Biggest Common Factor Method

Greatest Common Factor of 521,771,404 By Matching Biggest Common Factor Method

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Factors of 771

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

1,3,257,771

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Greatest Common Factor

We found the factors 521,771,404 . The biggest common factor number is the GCF number.
So the greatest common factor 521,771,404 is 1.


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 727/521, 522/771, 578/404

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 727/521, 522/771, 578/404?

Answer: LCM of Numerators as per given numbers 727/521, 522/771, 578/404 is

LCM of Numerators i.e. for 727,522,578 is 109673766

GCF of denominators i.e. for 521,771,404 is 1.

Thus, LCM of Fractions is 109673766.Finally, LCM of Fractions for 727/521, 522/771, 578/404 is 109673766.