Least Common Multiple of 758/38, 759/80, 831/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 758/38, 759/80, 831/429 quickly i.e. 159364194 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 758/38, 759/80, 831/429 is 159364194.

LCM(758/38, 759/80, 831/429) = 159364194

LCM of 758/38, 759/80, 831/429

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 758/38,759/80,831/429

Given numbers are 758/38,759/80,831/429

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 758,759,831

Least Common Multiple of Numerators i.e. LCM of 758,759,831 is 159364194.

GCF of Denominators means GCF of 38,80,429 as per the given fractions.

GCF of 38,80,429 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 758,759,831

LCM of Fractions 758/38,759/80,831/429 is 159364194

3 758, 759, 831
758, 253, 277

∴ So the LCM of the given numbers is 3 x 758 x 253 x 277 = 159364194

Least Common Multiple of 758,759,831 with GCF Formula

Least Common Multiple of 758,759,831 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 758,759,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(758,759,831) = 1

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

GCF(758,759,831) x common factors =1 x 3 = 3

LCM(758,759,831) = ( 758 × 759 × 831 ) / 3

LCM(758,759,831) = 478092582 / 3

LCM(758,759,831) = 159364194


Lets's calculate GCF of 38,80,429

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 159364194/1

Therefore the LCM of Fractions 758/38,759/80,831/429 is 159364194

Greatest Common Factor of 38,80,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,80,429 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 38,80,429 . The biggest common factor number is the GCF number.
So the greatest common factor 38,80,429 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 758/38, 759/80, 831/429

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 758/38, 759/80, 831/429?

Answer: LCM of Numerators as per given numbers 758/38, 759/80, 831/429 is

LCM of Numerators i.e. for 758,759,831 is 159364194

GCF of denominators i.e. for 38,80,429 is 1.

Thus, LCM of Fractions is 159364194.Finally, LCM of Fractions for 758/38, 759/80, 831/429 is 159364194.