Least Common Multiple of 6897/75, 2463/903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6897/75, 2463/903 quickly i.e. 1887479 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6897/75, 2463/903 is 1887479.

LCM(6897/75, 2463/903) = 1887479

LCM of 6897/75, 2463/903

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 6897/75,2463/903

Given numbers are 6897/75,2463/903

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 6897,2463

Least Common Multiple of Numerators i.e. LCM of 6897,2463 is 5662437.

GCF of Denominators means GCF of 75,903 as per the given fractions.

GCF of 75,903 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6897,2463

LCM of Fractions 6897/75,2463/903 is 1887479

3 6897, 2463
2299, 821

∴ So the LCM of the given numbers is 3 x 2299 x 821 = 5662437

Least Common Multiple of 6897,2463 with GCF Formula

Least Common Multiple of 6897,2463 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 6897,2463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6897,2463) = 3

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

GCF(6897,2463) x common factors =3 x 1 = 3

LCM(6897,2463) = ( 6897 × 2463 ) / 3

LCM(6897,2463) = 16987311 / 3

LCM(6897,2463) = 5662437


Lets's calculate GCF of 75,903

3 75, 903
25, 301

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5662437/3

Therefore the LCM of Fractions 6897/75,2463/903 is 1887479

Greatest Common Factor of 75,903 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,903 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Greatest Common Factor

We found the factors 75,903 . The biggest common factor number is the GCF number.
So the greatest common factor 75,903 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6897/75, 2463/903

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 6897/75, 2463/903?

Answer: LCM of Numerators as per given numbers 6897/75, 2463/903 is

LCM of Numerators i.e. for 6897,2463 is 5662437

GCF of denominators i.e. for 75,903 is 3.

Thus, LCM of Fractions is 1887479.Finally, LCM of Fractions for 6897/75, 2463/903 is 1887479.