Least Common Multiple of 794/39, 864/3669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 794/39, 864/3669 quickly i.e. 114336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 794/39, 864/3669 is 114336.

LCM(794/39, 864/3669) = 114336

LCM of 794/39, 864/3669

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 794/39,864/3669

Given numbers are 794/39,864/3669

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 794,864

Least Common Multiple of Numerators i.e. LCM of 794,864 is 343008.

GCF of Denominators means GCF of 39,3669 as per the given fractions.

GCF of 39,3669 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 794,864

LCM of Fractions 794/39,864/3669 is 114336

2 794, 864
397, 432

∴ So the LCM of the given numbers is 2 x 397 x 432 = 343008

Least Common Multiple of 794,864 with GCF Formula

Least Common Multiple of 794,864 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 794,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(794,864) = 2

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

GCF(794,864) x common factors =2 x 1 = 2

LCM(794,864) = ( 794 × 864 ) / 2

LCM(794,864) = 686016 / 2

LCM(794,864) = 343008


Lets's calculate GCF of 39,3669

3 39, 3669
13, 1223

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 343008/3

Therefore the LCM of Fractions 794/39,864/3669 is 114336

Greatest Common Factor of 39,3669 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,3669 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 3669

List of positive integer factors of 3669 that divides 3669 without a remainder.

1,3,1223,3669

Greatest Common Factor

We found the factors 39,3669 . The biggest common factor number is the GCF number.
So the greatest common factor 39,3669 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 794/39, 864/3669

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 794/39, 864/3669?

Answer: LCM of Numerators as per given numbers 794/39, 864/3669 is

LCM of Numerators i.e. for 794,864 is 343008

GCF of denominators i.e. for 39,3669 is 3.

Thus, LCM of Fractions is 114336.Finally, LCM of Fractions for 794/39, 864/3669 is 114336.