Least Common Multiple of 792/521, 7287/1874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 792/521, 7287/1874 quickly i.e. 1923768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 792/521, 7287/1874 is 1923768.

LCM(792/521, 7287/1874) = 1923768

LCM of 792/521, 7287/1874

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 792/521,7287/1874

Given numbers are 792/521,7287/1874

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 792,7287

Least Common Multiple of Numerators i.e. LCM of 792,7287 is 1923768.

GCF of Denominators means GCF of 521,1874 as per the given fractions.

GCF of 521,1874 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 792,7287

LCM of Fractions 792/521,7287/1874 is 1923768

3 792, 7287
264, 2429

∴ So the LCM of the given numbers is 3 x 264 x 2429 = 1923768

Least Common Multiple of 792,7287 with GCF Formula

Least Common Multiple of 792,7287 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 792,7287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,7287) = 3

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

GCF(792,7287) x common factors =3 x 1 = 3

LCM(792,7287) = ( 792 × 7287 ) / 3

LCM(792,7287) = 5771304 / 3

LCM(792,7287) = 1923768


Lets's calculate GCF of 521,1874

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1923768/1

Therefore the LCM of Fractions 792/521,7287/1874 is 1923768

Greatest Common Factor of 521,1874 By Matching Biggest Common Factor Method

Greatest Common Factor of 521,1874 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 1874

List of positive integer factors of 1874 that divides 1874 without a remainder.

1,2,937,1874

Greatest Common Factor

We found the factors 521,1874 . The biggest common factor number is the GCF number.
So the greatest common factor 521,1874 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 792/521, 7287/1874

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 792/521, 7287/1874?

Answer: LCM of Numerators as per given numbers 792/521, 7287/1874 is

LCM of Numerators i.e. for 792,7287 is 1923768

GCF of denominators i.e. for 521,1874 is 1.

Thus, LCM of Fractions is 1923768.Finally, LCM of Fractions for 792/521, 7287/1874 is 1923768.