Least Common Multiple of 6662/576, 9743/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6662/576, 9743/738 quickly i.e. 64907866/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6662/576, 9743/738 is 64907866/18.

LCM(6662/576, 9743/738) = 64907866/18

LCM of 6662/576, 9743/738

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 6662/576,9743/738

Given numbers are 6662/576,9743/738

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 6662,9743

Least Common Multiple of Numerators i.e. LCM of 6662,9743 is 64907866.

GCF of Denominators means GCF of 576,738 as per the given fractions.

GCF of 576,738 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6662,9743

LCM of Fractions 6662/576,9743/738 is 64907866/18

Given numbers has no common factors except 1. So, there LCM is their product i.e 64907866

Least Common Multiple of 6662,9743 with GCF Formula

Least Common Multiple of 6662,9743 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 6662,9743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6662,9743) = 1

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

GCF(6662,9743) x common factors =1 x 1 = 1

LCM(6662,9743) = ( 6662 × 9743 ) / 1

LCM(6662,9743) = 64907866 / 1

LCM(6662,9743) = 64907866


Lets's calculate GCF of 576,738

2 576, 738
3 288, 369
3 96, 123
32, 41

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64907866/18

Therefore the LCM of Fractions 6662/576,9743/738 is 64907866/18

Greatest Common Factor of 576,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 576,738 By Matching Biggest Common Factor Method

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 576,738 . The biggest common factor number is the GCF number.
So the greatest common factor 576,738 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 6662/576, 9743/738

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 6662/576, 9743/738?

Answer: LCM of Numerators as per given numbers 6662/576, 9743/738 is

LCM of Numerators i.e. for 6662,9743 is 64907866

GCF of denominators i.e. for 576,738 is 18.

Thus, LCM of Fractions is 64907866/18.Finally, LCM of Fractions for 6662/576, 9743/738 is 64907866/18.