Least Common Multiple of 378/783, 8192/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 378/783, 8192/321 quickly i.e. 516096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 378/783, 8192/321 is 516096.

LCM(378/783, 8192/321) = 516096

LCM of 378/783, 8192/321

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 378/783,8192/321

Given numbers are 378/783,8192/321

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 378,8192

Least Common Multiple of Numerators i.e. LCM of 378,8192 is 1548288.

GCF of Denominators means GCF of 783,321 as per the given fractions.

GCF of 783,321 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 378,8192

LCM of Fractions 378/783,8192/321 is 516096

2 378, 8192
189, 4096

∴ So the LCM of the given numbers is 2 x 189 x 4096 = 1548288

Least Common Multiple of 378,8192 with GCF Formula

Least Common Multiple of 378,8192 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 378,8192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,8192) = 2

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

GCF(378,8192) x common factors =2 x 1 = 2

LCM(378,8192) = ( 378 × 8192 ) / 2

LCM(378,8192) = 3096576 / 2

LCM(378,8192) = 1548288


Lets's calculate GCF of 783,321

3 783, 321
261, 107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1548288/3

Therefore the LCM of Fractions 378/783,8192/321 is 516096

Greatest Common Factor of 783,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 783,321 By Matching Biggest Common Factor Method

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 783,321 . The biggest common factor number is the GCF number.
So the greatest common factor 783,321 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 378/783, 8192/321

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 378/783, 8192/321?

Answer: LCM of Numerators as per given numbers 378/783, 8192/321 is

LCM of Numerators i.e. for 378,8192 is 1548288

GCF of denominators i.e. for 783,321 is 3.

Thus, LCM of Fractions is 516096.Finally, LCM of Fractions for 378/783, 8192/321 is 516096.