Least Common Multiple of 756/903, 609/227, 593/863

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 756/903, 609/227, 593/863 quickly i.e. 13000932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 756/903, 609/227, 593/863 is 13000932.

LCM(756/903, 609/227, 593/863) = 13000932

LCM of 756/903, 609/227, 593/863

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 756/903,609/227,593/863

Given numbers are 756/903,609/227,593/863

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 756,609,593

Least Common Multiple of Numerators i.e. LCM of 756,609,593 is 13000932.

GCF of Denominators means GCF of 903,227,863 as per the given fractions.

GCF of 903,227,863 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 756,609,593

LCM of Fractions 756/903,609/227,593/863 is 13000932

3 756, 609, 593
7 252, 203, 593
36, 29, 593

∴ So the LCM of the given numbers is 3 x 7 x 36 x 29 x 593 = 13000932

Least Common Multiple of 756,609,593 with GCF Formula

Least Common Multiple of 756,609,593 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 756,609,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,609,593) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(756,609,593) x common factors =1 x 21 = 21

LCM(756,609,593) = ( 756 × 609 × 593 ) / 21

LCM(756,609,593) = 273019572 / 21

LCM(756,609,593) = 13000932


Lets's calculate GCF of 903,227,863

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13000932/1

Therefore the LCM of Fractions 756/903,609/227,593/863 is 13000932

Greatest Common Factor of 903,227,863 By Matching Biggest Common Factor Method

Greatest Common Factor of 903,227,863 By Matching Biggest Common Factor Method

Factors of 903

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

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

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Greatest Common Factor

We found the factors 903,227,863 . The biggest common factor number is the GCF number.
So the greatest common factor 903,227,863 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 756/903, 609/227, 593/863

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 756/903, 609/227, 593/863?

Answer: LCM of Numerators as per given numbers 756/903, 609/227, 593/863 is

LCM of Numerators i.e. for 756,609,593 is 13000932

GCF of denominators i.e. for 903,227,863 is 1.

Thus, LCM of Fractions is 13000932.Finally, LCM of Fractions for 756/903, 609/227, 593/863 is 13000932.