Least Common Multiple of 8178/445, 7491/7195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8178/445, 7491/7195 quickly i.e. 20420466/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8178/445, 7491/7195 is 20420466/5.

LCM(8178/445, 7491/7195) = 20420466/5

LCM of 8178/445, 7491/7195

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 8178/445,7491/7195

Given numbers are 8178/445,7491/7195

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 8178,7491

Least Common Multiple of Numerators i.e. LCM of 8178,7491 is 20420466.

GCF of Denominators means GCF of 445,7195 as per the given fractions.

GCF of 445,7195 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8178,7491

LCM of Fractions 8178/445,7491/7195 is 20420466/5

3 8178, 7491
2726, 2497

∴ So the LCM of the given numbers is 3 x 2726 x 2497 = 20420466

Least Common Multiple of 8178,7491 with GCF Formula

Least Common Multiple of 8178,7491 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 8178,7491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8178,7491) = 3

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

GCF(8178,7491) x common factors =3 x 1 = 3

LCM(8178,7491) = ( 8178 × 7491 ) / 3

LCM(8178,7491) = 61261398 / 3

LCM(8178,7491) = 20420466


Lets's calculate GCF of 445,7195

5 445, 7195
89, 1439

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20420466/5

Therefore the LCM of Fractions 8178/445,7491/7195 is 20420466/5

Greatest Common Factor of 445,7195 By Matching Biggest Common Factor Method

Greatest Common Factor of 445,7195 By Matching Biggest Common Factor Method

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Factors of 7195

List of positive integer factors of 7195 that divides 7195 without a remainder.

1,5,1439,7195

Greatest Common Factor

We found the factors 445,7195 . The biggest common factor number is the GCF number.
So the greatest common factor 445,7195 is 5.


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 8178/445, 7491/7195

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 8178/445, 7491/7195?

Answer: LCM of Numerators as per given numbers 8178/445, 7491/7195 is

LCM of Numerators i.e. for 8178,7491 is 20420466

GCF of denominators i.e. for 445,7195 is 5.

Thus, LCM of Fractions is 20420466/5.Finally, LCM of Fractions for 8178/445, 7491/7195 is 20420466/5.