Least Common Multiple of 378/674, 7124/8191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 378/674, 7124/8191 quickly i.e. 1346436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 378/674, 7124/8191 is 1346436.

LCM(378/674, 7124/8191) = 1346436

LCM of 378/674, 7124/8191

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 378/674,7124/8191

Given numbers are 378/674,7124/8191

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 378,7124

Least Common Multiple of Numerators i.e. LCM of 378,7124 is 1346436.

GCF of Denominators means GCF of 674,8191 as per the given fractions.

GCF of 674,8191 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 378,7124

LCM of Fractions 378/674,7124/8191 is 1346436

2 378, 7124
189, 3562

∴ So the LCM of the given numbers is 2 x 189 x 3562 = 1346436

Least Common Multiple of 378,7124 with GCF Formula

Least Common Multiple of 378,7124 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 378,7124 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,7124) = 2

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

GCF(378,7124) x common factors =2 x 1 = 2

LCM(378,7124) = ( 378 × 7124 ) / 2

LCM(378,7124) = 2692872 / 2

LCM(378,7124) = 1346436


Lets's calculate GCF of 674,8191

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1346436/1

Therefore the LCM of Fractions 378/674,7124/8191 is 1346436

Greatest Common Factor of 674,8191 By Matching Biggest Common Factor Method

Greatest Common Factor of 674,8191 By Matching Biggest Common Factor Method

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 8191

List of positive integer factors of 8191 that divides 8191 without a remainder.

1,8191

Greatest Common Factor

We found the factors 674,8191 . The biggest common factor number is the GCF number.
So the greatest common factor 674,8191 is 1.


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 378/674, 7124/8191

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 378/674, 7124/8191?

Answer: LCM of Numerators as per given numbers 378/674, 7124/8191 is

LCM of Numerators i.e. for 378,7124 is 1346436

GCF of denominators i.e. for 674,8191 is 1.

Thus, LCM of Fractions is 1346436.Finally, LCM of Fractions for 378/674, 7124/8191 is 1346436.