Least Common Multiple of 681/82, 3214/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 681/82, 3214/384 quickly i.e. 1094367 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 681/82, 3214/384 is 1094367.

LCM(681/82, 3214/384) = 1094367

LCM of 681/82, 3214/384

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 681/82,3214/384

Given numbers are 681/82,3214/384

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 681,3214

Least Common Multiple of Numerators i.e. LCM of 681,3214 is 2188734.

GCF of Denominators means GCF of 82,384 as per the given fractions.

GCF of 82,384 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 681,3214

LCM of Fractions 681/82,3214/384 is 1094367

Given numbers has no common factors except 1. So, there LCM is their product i.e 2188734

Least Common Multiple of 681,3214 with GCF Formula

Least Common Multiple of 681,3214 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 681,3214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(681,3214) = 1

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

GCF(681,3214) x common factors =1 x 1 = 1

LCM(681,3214) = ( 681 × 3214 ) / 1

LCM(681,3214) = 2188734 / 1

LCM(681,3214) = 2188734


Lets's calculate GCF of 82,384

2 82, 384
41, 192

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2188734/2

Therefore the LCM of Fractions 681/82,3214/384 is 1094367

Greatest Common Factor of 82,384 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,384 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Greatest Common Factor

We found the factors 82,384 . The biggest common factor number is the GCF number.
So the greatest common factor 82,384 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 681/82, 3214/384

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 681/82, 3214/384?

Answer: LCM of Numerators as per given numbers 681/82, 3214/384 is

LCM of Numerators i.e. for 681,3214 is 2188734

GCF of denominators i.e. for 82,384 is 2.

Thus, LCM of Fractions is 1094367.Finally, LCM of Fractions for 681/82, 3214/384 is 1094367.