Least Common Multiple of 453/40, 770/41, 717/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 453/40, 770/41, 717/339 quickly i.e. 83365590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 453/40, 770/41, 717/339 is 83365590.

LCM(453/40, 770/41, 717/339) = 83365590

LCM of 453/40, 770/41, 717/339

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 453/40,770/41,717/339

Given numbers are 453/40,770/41,717/339

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 453,770,717

Least Common Multiple of Numerators i.e. LCM of 453,770,717 is 83365590.

GCF of Denominators means GCF of 40,41,339 as per the given fractions.

GCF of 40,41,339 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 453,770,717

LCM of Fractions 453/40,770/41,717/339 is 83365590

3 453, 770, 717
151, 770, 239

∴ So the LCM of the given numbers is 3 x 151 x 770 x 239 = 83365590

Least Common Multiple of 453,770,717 with GCF Formula

Least Common Multiple of 453,770,717 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 453,770,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(453,770,717) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(453,770,717) x common factors =1 x 3 = 3

LCM(453,770,717) = ( 453 × 770 × 717 ) / 3

LCM(453,770,717) = 250096770 / 3

LCM(453,770,717) = 83365590


Lets's calculate GCF of 40,41,339

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83365590/1

Therefore the LCM of Fractions 453/40,770/41,717/339 is 83365590

Greatest Common Factor of 40,41,339 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,41,339 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 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Greatest Common Factor

We found the factors 40,41,339 . The biggest common factor number is the GCF number.
So the greatest common factor 40,41,339 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 453/40, 770/41, 717/339

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 453/40, 770/41, 717/339?

Answer: LCM of Numerators as per given numbers 453/40, 770/41, 717/339 is

LCM of Numerators i.e. for 453,770,717 is 83365590

GCF of denominators i.e. for 40,41,339 is 1.

Thus, LCM of Fractions is 83365590.Finally, LCM of Fractions for 453/40, 770/41, 717/339 is 83365590.