Least Common Multiple of 9668/381, 8071/212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9668/381, 8071/212 quickly i.e. 78030428 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9668/381, 8071/212 is 78030428.

LCM(9668/381, 8071/212) = 78030428

LCM of 9668/381, 8071/212

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 9668/381,8071/212

Given numbers are 9668/381,8071/212

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 9668,8071

Least Common Multiple of Numerators i.e. LCM of 9668,8071 is 78030428.

GCF of Denominators means GCF of 381,212 as per the given fractions.

GCF of 381,212 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9668,8071

LCM of Fractions 9668/381,8071/212 is 78030428

Given numbers has no common factors except 1. So, there LCM is their product i.e 78030428

Least Common Multiple of 9668,8071 with GCF Formula

Least Common Multiple of 9668,8071 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 9668,8071 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9668,8071) = 1

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

GCF(9668,8071) x common factors =1 x 1 = 1

LCM(9668,8071) = ( 9668 × 8071 ) / 1

LCM(9668,8071) = 78030428 / 1

LCM(9668,8071) = 78030428


Lets's calculate GCF of 381,212

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78030428/1

Therefore the LCM of Fractions 9668/381,8071/212 is 78030428

Greatest Common Factor of 381,212 By Matching Biggest Common Factor Method

Greatest Common Factor of 381,212 By Matching Biggest Common Factor Method

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Greatest Common Factor

We found the factors 381,212 . The biggest common factor number is the GCF number.
So the greatest common factor 381,212 is 1.


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 9668/381, 8071/212

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 9668/381, 8071/212?

Answer: LCM of Numerators as per given numbers 9668/381, 8071/212 is

LCM of Numerators i.e. for 9668,8071 is 78030428

GCF of denominators i.e. for 381,212 is 1.

Thus, LCM of Fractions is 78030428.Finally, LCM of Fractions for 9668/381, 8071/212 is 78030428.