Least Common Multiple of 3966/660, 8284/2022

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3966/660, 8284/2022 quickly i.e. 2737862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3966/660, 8284/2022 is 2737862.

LCM(3966/660, 8284/2022) = 2737862

LCM of 3966/660, 8284/2022

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 3966/660,8284/2022

Given numbers are 3966/660,8284/2022

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 3966,8284

Least Common Multiple of Numerators i.e. LCM of 3966,8284 is 16427172.

GCF of Denominators means GCF of 660,2022 as per the given fractions.

GCF of 660,2022 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3966,8284

LCM of Fractions 3966/660,8284/2022 is 2737862

2 3966, 8284
1983, 4142

∴ So the LCM of the given numbers is 2 x 1983 x 4142 = 16427172

Least Common Multiple of 3966,8284 with GCF Formula

Least Common Multiple of 3966,8284 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 3966,8284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3966,8284) = 2

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

GCF(3966,8284) x common factors =2 x 1 = 2

LCM(3966,8284) = ( 3966 × 8284 ) / 2

LCM(3966,8284) = 32854344 / 2

LCM(3966,8284) = 16427172


Lets's calculate GCF of 660,2022

2 660, 2022
3 330, 1011
110, 337

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16427172/6

Therefore the LCM of Fractions 3966/660,8284/2022 is 2737862

Greatest Common Factor of 660,2022 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,2022 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 2022

List of positive integer factors of 2022 that divides 2022 without a remainder.

1,2,3,6,337,674,1011,2022

Greatest Common Factor

We found the factors 660,2022 . The biggest common factor number is the GCF number.
So the greatest common factor 660,2022 is 6.


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 3966/660, 8284/2022

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 3966/660, 8284/2022?

Answer: LCM of Numerators as per given numbers 3966/660, 8284/2022 is

LCM of Numerators i.e. for 3966,8284 is 16427172

GCF of denominators i.e. for 660,2022 is 6.

Thus, LCM of Fractions is 2737862.Finally, LCM of Fractions for 3966/660, 8284/2022 is 2737862.