Least Common Multiple of 32/321, 2024/4066

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/321, 2024/4066 quickly i.e. 8096/107 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/321, 2024/4066 is 8096/107.

LCM(32/321, 2024/4066) = 8096/107

LCM of 32/321, 2024/4066

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 32/321,2024/4066

Given numbers are 32/321,2024/4066

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 32,2024

Least Common Multiple of Numerators i.e. LCM of 32,2024 is 8096.

GCF of Denominators means GCF of 321,4066 as per the given fractions.

GCF of 321,4066 is 107 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,2024

LCM of Fractions 32/321,2024/4066 is 8096/107

2 32, 2024
2 16, 1012
2 8, 506
4, 253

∴ So the LCM of the given numbers is 2 x 2 x 2 x 4 x 253 = 8096

Least Common Multiple of 32,2024 with GCF Formula

Least Common Multiple of 32,2024 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 32,2024 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,2024) = 8

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

GCF(32,2024) x common factors =8 x 1 = 8

LCM(32,2024) = ( 32 × 2024 ) / 8

LCM(32,2024) = 64768 / 8

LCM(32,2024) = 8096


Lets's calculate GCF of 321,4066

107 321, 4066
3, 38

∴ So the GCF of the given numbers is 107 = 107

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8096/107

Therefore the LCM of Fractions 32/321,2024/4066 is 8096/107

Greatest Common Factor of 321,4066 By Matching Biggest Common Factor Method

Greatest Common Factor of 321,4066 By Matching Biggest Common Factor Method

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 4066

List of positive integer factors of 4066 that divides 4066 without a remainder.

1,2,19,38,107,214,2033,4066

Greatest Common Factor

We found the factors 321,4066 . The biggest common factor number is the GCF number.
So the greatest common factor 321,4066 is 107.


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 32/321, 2024/4066

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 32/321, 2024/4066?

Answer: LCM of Numerators as per given numbers 32/321, 2024/4066 is

LCM of Numerators i.e. for 32,2024 is 8096

GCF of denominators i.e. for 321,4066 is 107.

Thus, LCM of Fractions is 8096/107.Finally, LCM of Fractions for 32/321, 2024/4066 is 8096/107.