Least Common Multiple of 333/40, 214/52, 794/19

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 333/40, 214/52, 794/19 quickly i.e. 28291014 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 333/40, 214/52, 794/19 is 28291014.

LCM(333/40, 214/52, 794/19) = 28291014

LCM of 333/40, 214/52, 794/19

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 333/40,214/52,794/19

Given numbers are 333/40,214/52,794/19

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 333,214,794

Least Common Multiple of Numerators i.e. LCM of 333,214,794 is 28291014.

GCF of Denominators means GCF of 40,52,19 as per the given fractions.

GCF of 40,52,19 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 333,214,794

LCM of Fractions 333/40,214/52,794/19 is 28291014

2 333, 214, 794
333, 107, 397

∴ So the LCM of the given numbers is 2 x 333 x 107 x 397 = 28291014

Least Common Multiple of 333,214,794 with GCF Formula

Least Common Multiple of 333,214,794 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 333,214,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(333,214,794) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(333,214,794) x common factors =1 x 2 = 2

LCM(333,214,794) = ( 333 × 214 × 794 ) / 2

LCM(333,214,794) = 56582028 / 2

LCM(333,214,794) = 28291014


Lets's calculate GCF of 40,52,19

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28291014/1

Therefore the LCM of Fractions 333/40,214/52,794/19 is 28291014

Greatest Common Factor of 40,52,19 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,52,19 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Greatest Common Factor

We found the factors 40,52,19 . The biggest common factor number is the GCF number.
So the greatest common factor 40,52,19 is 1.


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 333/40, 214/52, 794/19

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 333/40, 214/52, 794/19?

Answer: LCM of Numerators as per given numbers 333/40, 214/52, 794/19 is

LCM of Numerators i.e. for 333,214,794 is 28291014

GCF of denominators i.e. for 40,52,19 is 1.

Thus, LCM of Fractions is 28291014.Finally, LCM of Fractions for 333/40, 214/52, 794/19 is 28291014.