Least Common Multiple of 747/78, 903/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 747/78, 903/645 quickly i.e. 74949 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 747/78, 903/645 is 74949.

LCM(747/78, 903/645) = 74949

LCM of 747/78, 903/645

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 747/78,903/645

Given numbers are 747/78,903/645

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 747,903

Least Common Multiple of Numerators i.e. LCM of 747,903 is 224847.

GCF of Denominators means GCF of 78,645 as per the given fractions.

GCF of 78,645 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 747,903

LCM of Fractions 747/78,903/645 is 74949

3 747, 903
249, 301

∴ So the LCM of the given numbers is 3 x 249 x 301 = 224847

Least Common Multiple of 747,903 with GCF Formula

Least Common Multiple of 747,903 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 747,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(747,903) = 3

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

GCF(747,903) x common factors =3 x 1 = 3

LCM(747,903) = ( 747 × 903 ) / 3

LCM(747,903) = 674541 / 3

LCM(747,903) = 224847


Lets's calculate GCF of 78,645

3 78, 645
26, 215

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 224847/3

Therefore the LCM of Fractions 747/78,903/645 is 74949

Greatest Common Factor of 78,645 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,645 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Greatest Common Factor

We found the factors 78,645 . The biggest common factor number is the GCF number.
So the greatest common factor 78,645 is 3.


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 747/78, 903/645

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 747/78, 903/645?

Answer: LCM of Numerators as per given numbers 747/78, 903/645 is

LCM of Numerators i.e. for 747,903 is 224847

GCF of denominators i.e. for 78,645 is 3.

Thus, LCM of Fractions is 74949.Finally, LCM of Fractions for 747/78, 903/645 is 74949.