Least Common Multiple of 4104/329, 3781/4340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4104/329, 3781/4340 quickly i.e. 816696/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4104/329, 3781/4340 is 816696/7.

LCM(4104/329, 3781/4340) = 816696/7

LCM of 4104/329, 3781/4340

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 4104/329,3781/4340

Given numbers are 4104/329,3781/4340

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 4104,3781

Least Common Multiple of Numerators i.e. LCM of 4104,3781 is 816696.

GCF of Denominators means GCF of 329,4340 as per the given fractions.

GCF of 329,4340 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4104,3781

LCM of Fractions 4104/329,3781/4340 is 816696/7

19 4104, 3781
216, 199

∴ So the LCM of the given numbers is 19 x 216 x 199 = 816696

Least Common Multiple of 4104,3781 with GCF Formula

Least Common Multiple of 4104,3781 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 4104,3781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4104,3781) = 19

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

GCF(4104,3781) x common factors =19 x 1 = 19

LCM(4104,3781) = ( 4104 × 3781 ) / 19

LCM(4104,3781) = 15517224 / 19

LCM(4104,3781) = 816696


Lets's calculate GCF of 329,4340

7 329, 4340
47, 620

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 816696/7

Therefore the LCM of Fractions 4104/329,3781/4340 is 816696/7

Greatest Common Factor of 329,4340 By Matching Biggest Common Factor Method

Greatest Common Factor of 329,4340 By Matching Biggest Common Factor Method

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Factors of 4340

List of positive integer factors of 4340 that divides 4340 without a remainder.

1,2,4,5,7,10,14,20,28,31,35,62,70,124,140,155,217,310,434,620,868,1085,2170,4340

Greatest Common Factor

We found the factors 329,4340 . The biggest common factor number is the GCF number.
So the greatest common factor 329,4340 is 7.


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 4104/329, 3781/4340

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 4104/329, 3781/4340?

Answer: LCM of Numerators as per given numbers 4104/329, 3781/4340 is

LCM of Numerators i.e. for 4104,3781 is 816696

GCF of denominators i.e. for 329,4340 is 7.

Thus, LCM of Fractions is 816696/7.Finally, LCM of Fractions for 4104/329, 3781/4340 is 816696/7.