Least Common Multiple of 6476/288, 7803/5526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6476/288, 7803/5526 quickly i.e. 2807346 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6476/288, 7803/5526 is 2807346.

LCM(6476/288, 7803/5526) = 2807346

LCM of 6476/288, 7803/5526

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 6476/288,7803/5526

Given numbers are 6476/288,7803/5526

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 6476,7803

Least Common Multiple of Numerators i.e. LCM of 6476,7803 is 50532228.

GCF of Denominators means GCF of 288,5526 as per the given fractions.

GCF of 288,5526 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6476,7803

LCM of Fractions 6476/288,7803/5526 is 2807346

Given numbers has no common factors except 1. So, there LCM is their product i.e 50532228

Least Common Multiple of 6476,7803 with GCF Formula

Least Common Multiple of 6476,7803 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 6476,7803 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6476,7803) = 1

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

GCF(6476,7803) x common factors =1 x 1 = 1

LCM(6476,7803) = ( 6476 × 7803 ) / 1

LCM(6476,7803) = 50532228 / 1

LCM(6476,7803) = 50532228


Lets's calculate GCF of 288,5526

2 288, 5526
3 144, 2763
3 48, 921
16, 307

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50532228/18

Therefore the LCM of Fractions 6476/288,7803/5526 is 2807346

Greatest Common Factor of 288,5526 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,5526 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 5526

List of positive integer factors of 5526 that divides 5526 without a remainder.

1,2,3,6,9,18,307,614,921,1842,2763,5526

Greatest Common Factor

We found the factors 288,5526 . The biggest common factor number is the GCF number.
So the greatest common factor 288,5526 is 18.


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 6476/288, 7803/5526

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 6476/288, 7803/5526?

Answer: LCM of Numerators as per given numbers 6476/288, 7803/5526 is

LCM of Numerators i.e. for 6476,7803 is 50532228

GCF of denominators i.e. for 288,5526 is 18.

Thus, LCM of Fractions is 2807346.Finally, LCM of Fractions for 6476/288, 7803/5526 is 2807346.