Least Common Multiple of 84/189, 4444/3326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 84/189, 4444/3326 quickly i.e. 93324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/189, 4444/3326 is 93324.

LCM(84/189, 4444/3326) = 93324

LCM of 84/189, 4444/3326

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 84/189,4444/3326

Given numbers are 84/189,4444/3326

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 84,4444

Least Common Multiple of Numerators i.e. LCM of 84,4444 is 93324.

GCF of Denominators means GCF of 189,3326 as per the given fractions.

GCF of 189,3326 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,4444

LCM of Fractions 84/189,4444/3326 is 93324

2 84, 4444
2 42, 2222
21, 1111

∴ So the LCM of the given numbers is 2 x 2 x 21 x 1111 = 93324

Least Common Multiple of 84,4444 with GCF Formula

Least Common Multiple of 84,4444 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 84,4444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,4444) = 4

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

GCF(84,4444) x common factors =4 x 1 = 4

LCM(84,4444) = ( 84 × 4444 ) / 4

LCM(84,4444) = 373296 / 4

LCM(84,4444) = 93324


Lets's calculate GCF of 189,3326

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93324/1

Therefore the LCM of Fractions 84/189,4444/3326 is 93324

Greatest Common Factor of 189,3326 By Matching Biggest Common Factor Method

Greatest Common Factor of 189,3326 By Matching Biggest Common Factor Method

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 3326

List of positive integer factors of 3326 that divides 3326 without a remainder.

1,2,1663,3326

Greatest Common Factor

We found the factors 189,3326 . The biggest common factor number is the GCF number.
So the greatest common factor 189,3326 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 84/189, 4444/3326

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 84/189, 4444/3326?

Answer: LCM of Numerators as per given numbers 84/189, 4444/3326 is

LCM of Numerators i.e. for 84,4444 is 93324

GCF of denominators i.e. for 189,3326 is 1.

Thus, LCM of Fractions is 93324.Finally, LCM of Fractions for 84/189, 4444/3326 is 93324.