Least Common Multiple of 7442/663, 8178/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7442/663, 8178/768 quickly i.e. 10143446 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7442/663, 8178/768 is 10143446.

LCM(7442/663, 8178/768) = 10143446

LCM of 7442/663, 8178/768

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 7442/663,8178/768

Given numbers are 7442/663,8178/768

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 7442,8178

Least Common Multiple of Numerators i.e. LCM of 7442,8178 is 30430338.

GCF of Denominators means GCF of 663,768 as per the given fractions.

GCF of 663,768 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7442,8178

LCM of Fractions 7442/663,8178/768 is 10143446

2 7442, 8178
3721, 4089

∴ So the LCM of the given numbers is 2 x 3721 x 4089 = 30430338

Least Common Multiple of 7442,8178 with GCF Formula

Least Common Multiple of 7442,8178 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 7442,8178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7442,8178) = 2

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

GCF(7442,8178) x common factors =2 x 1 = 2

LCM(7442,8178) = ( 7442 × 8178 ) / 2

LCM(7442,8178) = 60860676 / 2

LCM(7442,8178) = 30430338


Lets's calculate GCF of 663,768

3 663, 768
221, 256

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30430338/3

Therefore the LCM of Fractions 7442/663,8178/768 is 10143446

Greatest Common Factor of 663,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 663,768 By Matching Biggest Common Factor Method

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 663,768 . The biggest common factor number is the GCF number.
So the greatest common factor 663,768 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 7442/663, 8178/768

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 7442/663, 8178/768?

Answer: LCM of Numerators as per given numbers 7442/663, 8178/768 is

LCM of Numerators i.e. for 7442,8178 is 30430338

GCF of denominators i.e. for 663,768 is 3.

Thus, LCM of Fractions is 10143446.Finally, LCM of Fractions for 7442/663, 8178/768 is 10143446.