Least Common Multiple of 4035/523, 5088/1245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4035/523, 5088/1245 quickly i.e. 6843360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4035/523, 5088/1245 is 6843360.

LCM(4035/523, 5088/1245) = 6843360

LCM of 4035/523, 5088/1245

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 4035/523,5088/1245

Given numbers are 4035/523,5088/1245

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 4035,5088

Least Common Multiple of Numerators i.e. LCM of 4035,5088 is 6843360.

GCF of Denominators means GCF of 523,1245 as per the given fractions.

GCF of 523,1245 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4035,5088

LCM of Fractions 4035/523,5088/1245 is 6843360

3 4035, 5088
1345, 1696

∴ So the LCM of the given numbers is 3 x 1345 x 1696 = 6843360

Least Common Multiple of 4035,5088 with GCF Formula

Least Common Multiple of 4035,5088 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 4035,5088 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4035,5088) = 3

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

GCF(4035,5088) x common factors =3 x 1 = 3

LCM(4035,5088) = ( 4035 × 5088 ) / 3

LCM(4035,5088) = 20530080 / 3

LCM(4035,5088) = 6843360


Lets's calculate GCF of 523,1245

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6843360/1

Therefore the LCM of Fractions 4035/523,5088/1245 is 6843360

Greatest Common Factor of 523,1245 By Matching Biggest Common Factor Method

Greatest Common Factor of 523,1245 By Matching Biggest Common Factor Method

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 1245

List of positive integer factors of 1245 that divides 1245 without a remainder.

1,3,5,15,83,249,415,1245

Greatest Common Factor

We found the factors 523,1245 . The biggest common factor number is the GCF number.
So the greatest common factor 523,1245 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 4035/523, 5088/1245

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 4035/523, 5088/1245?

Answer: LCM of Numerators as per given numbers 4035/523, 5088/1245 is

LCM of Numerators i.e. for 4035,5088 is 6843360

GCF of denominators i.e. for 523,1245 is 1.

Thus, LCM of Fractions is 6843360.Finally, LCM of Fractions for 4035/523, 5088/1245 is 6843360.