Least Common Multiple of 747/990, 579/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 747/990, 579/645 quickly i.e. 144171/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 747/990, 579/645 is 144171/15.

LCM(747/990, 579/645) = 144171/15

LCM of 747/990, 579/645

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 747/990,579/645

Given numbers are 747/990,579/645

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 747,579

Least Common Multiple of Numerators i.e. LCM of 747,579 is 144171.

GCF of Denominators means GCF of 990,645 as per the given fractions.

GCF of 990,645 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 747,579

LCM of Fractions 747/990,579/645 is 144171/15

3 747, 579
249, 193

∴ So the LCM of the given numbers is 3 x 249 x 193 = 144171

Least Common Multiple of 747,579 with GCF Formula

Least Common Multiple of 747,579 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 747,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(747,579) = 3

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

GCF(747,579) x common factors =3 x 1 = 3

LCM(747,579) = ( 747 × 579 ) / 3

LCM(747,579) = 432513 / 3

LCM(747,579) = 144171


Lets's calculate GCF of 990,645

3 990, 645
5 330, 215
66, 43

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144171/15

Therefore the LCM of Fractions 747/990,579/645 is 144171/15

Greatest Common Factor of 990,645 By Matching Biggest Common Factor Method

Greatest Common Factor of 990,645 By Matching Biggest Common Factor Method

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

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 990,645 . The biggest common factor number is the GCF number.
So the greatest common factor 990,645 is 15.


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 747/990, 579/645

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 747/990, 579/645?

Answer: LCM of Numerators as per given numbers 747/990, 579/645 is

LCM of Numerators i.e. for 747,579 is 144171

GCF of denominators i.e. for 990,645 is 15.

Thus, LCM of Fractions is 144171/15.Finally, LCM of Fractions for 747/990, 579/645 is 144171/15.