Least Common Multiple of 681/18, 333/3914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 681/18, 333/3914 quickly i.e. 75591/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 681/18, 333/3914 is 75591/2.

LCM(681/18, 333/3914) = 75591/2

LCM of 681/18, 333/3914

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 681/18,333/3914

Given numbers are 681/18,333/3914

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 681,333

Least Common Multiple of Numerators i.e. LCM of 681,333 is 75591.

GCF of Denominators means GCF of 18,3914 as per the given fractions.

GCF of 18,3914 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 681,333

LCM of Fractions 681/18,333/3914 is 75591/2

3 681, 333
227, 111

∴ So the LCM of the given numbers is 3 x 227 x 111 = 75591

Least Common Multiple of 681,333 with GCF Formula

Least Common Multiple of 681,333 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 681,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(681,333) = 3

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

GCF(681,333) x common factors =3 x 1 = 3

LCM(681,333) = ( 681 × 333 ) / 3

LCM(681,333) = 226773 / 3

LCM(681,333) = 75591


Lets's calculate GCF of 18,3914

2 18, 3914
9, 1957

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75591/2

Therefore the LCM of Fractions 681/18,333/3914 is 75591/2

Greatest Common Factor of 18,3914 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,3914 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 3914

List of positive integer factors of 3914 that divides 3914 without a remainder.

1,2,19,38,103,206,1957,3914

Greatest Common Factor

We found the factors 18,3914 . The biggest common factor number is the GCF number.
So the greatest common factor 18,3914 is 2.


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 681/18, 333/3914

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 681/18, 333/3914?

Answer: LCM of Numerators as per given numbers 681/18, 333/3914 is

LCM of Numerators i.e. for 681,333 is 75591

GCF of denominators i.e. for 18,3914 is 2.

Thus, LCM of Fractions is 75591/2.Finally, LCM of Fractions for 681/18, 333/3914 is 75591/2.