Least Common Multiple of 333/42, 629/10, 183/806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 333/42, 629/10, 183/806 quickly i.e. 345321/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 333/42, 629/10, 183/806 is 345321/2.

LCM(333/42, 629/10, 183/806) = 345321/2

LCM of 333/42, 629/10, 183/806

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 333/42,629/10,183/806

Given numbers are 333/42,629/10,183/806

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 333,629,183

Least Common Multiple of Numerators i.e. LCM of 333,629,183 is 345321.

GCF of Denominators means GCF of 42,10,806 as per the given fractions.

GCF of 42,10,806 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 333,629,183

LCM of Fractions 333/42,629/10,183/806 is 345321/2

3 333, 629, 183
37 111, 629, 61
3, 17, 61

∴ So the LCM of the given numbers is 3 x 37 x 3 x 17 x 61 = 345321

Least Common Multiple of 333,629,183 with GCF Formula

Least Common Multiple of 333,629,183 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 333,629,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(333,629,183) = 1

common factors(in case of two or more numbers have common factors) = 111

GCF(333,629,183) x common factors =1 x 111 = 111

LCM(333,629,183) = ( 333 × 629 × 183 ) / 111

LCM(333,629,183) = 38330631 / 111

LCM(333,629,183) = 345321


Lets's calculate GCF of 42,10,806

2 42, 10, 806
21, 5, 403

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 345321/2

Therefore the LCM of Fractions 333/42,629/10,183/806 is 345321/2

Greatest Common Factor of 42,10,806 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,10,806 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Greatest Common Factor

We found the factors 42,10,806 . The biggest common factor number is the GCF number.
So the greatest common factor 42,10,806 is 2.


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 333/42, 629/10, 183/806

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 333/42, 629/10, 183/806?

Answer: LCM of Numerators as per given numbers 333/42, 629/10, 183/806 is

LCM of Numerators i.e. for 333,629,183 is 345321

GCF of denominators i.e. for 42,10,806 is 2.

Thus, LCM of Fractions is 345321/2.Finally, LCM of Fractions for 333/42, 629/10, 183/806 is 345321/2.