Least Common Multiple of 2214/384, 9994/4329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2214/384, 9994/4329 quickly i.e. 3687786 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2214/384, 9994/4329 is 3687786.

LCM(2214/384, 9994/4329) = 3687786

LCM of 2214/384, 9994/4329

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 2214/384,9994/4329

Given numbers are 2214/384,9994/4329

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 2214,9994

Least Common Multiple of Numerators i.e. LCM of 2214,9994 is 11063358.

GCF of Denominators means GCF of 384,4329 as per the given fractions.

GCF of 384,4329 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2214,9994

LCM of Fractions 2214/384,9994/4329 is 3687786

2 2214, 9994
1107, 4997

∴ So the LCM of the given numbers is 2 x 1107 x 4997 = 11063358

Least Common Multiple of 2214,9994 with GCF Formula

Least Common Multiple of 2214,9994 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 2214,9994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2214,9994) = 2

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

GCF(2214,9994) x common factors =2 x 1 = 2

LCM(2214,9994) = ( 2214 × 9994 ) / 2

LCM(2214,9994) = 22126716 / 2

LCM(2214,9994) = 11063358


Lets's calculate GCF of 384,4329

3 384, 4329
128, 1443

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11063358/3

Therefore the LCM of Fractions 2214/384,9994/4329 is 3687786

Greatest Common Factor of 384,4329 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,4329 By Matching Biggest Common Factor Method

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

Factors of 4329

List of positive integer factors of 4329 that divides 4329 without a remainder.

1,3,9,13,37,39,111,117,333,481,1443,4329

Greatest Common Factor

We found the factors 384,4329 . The biggest common factor number is the GCF number.
So the greatest common factor 384,4329 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 2214/384, 9994/4329

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 2214/384, 9994/4329?

Answer: LCM of Numerators as per given numbers 2214/384, 9994/4329 is

LCM of Numerators i.e. for 2214,9994 is 11063358

GCF of denominators i.e. for 384,4329 is 3.

Thus, LCM of Fractions is 3687786.Finally, LCM of Fractions for 2214/384, 9994/4329 is 3687786.