Least Common Multiple of 394/280, 812/951, 831/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 394/280, 812/951, 831/396 quickly i.e. 132930084 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 394/280, 812/951, 831/396 is 132930084.

LCM(394/280, 812/951, 831/396) = 132930084

LCM of 394/280, 812/951, 831/396

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 394/280,812/951,831/396

Given numbers are 394/280,812/951,831/396

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 394,812,831

Least Common Multiple of Numerators i.e. LCM of 394,812,831 is 132930084.

GCF of Denominators means GCF of 280,951,396 as per the given fractions.

GCF of 280,951,396 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 394,812,831

LCM of Fractions 394/280,812/951,831/396 is 132930084

2 394, 812, 831
197, 406, 831

∴ So the LCM of the given numbers is 2 x 197 x 406 x 831 = 132930084

Least Common Multiple of 394,812,831 with GCF Formula

Least Common Multiple of 394,812,831 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 394,812,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(394,812,831) = 1

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

GCF(394,812,831) x common factors =1 x 2 = 2

LCM(394,812,831) = ( 394 × 812 × 831 ) / 2

LCM(394,812,831) = 265860168 / 2

LCM(394,812,831) = 132930084


Lets's calculate GCF of 280,951,396

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132930084/1

Therefore the LCM of Fractions 394/280,812/951,831/396 is 132930084

Greatest Common Factor of 280,951,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 280,951,396 By Matching Biggest Common Factor Method

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Greatest Common Factor

We found the factors 280,951,396 . The biggest common factor number is the GCF number.
So the greatest common factor 280,951,396 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 394/280, 812/951, 831/396

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 394/280, 812/951, 831/396?

Answer: LCM of Numerators as per given numbers 394/280, 812/951, 831/396 is

LCM of Numerators i.e. for 394,812,831 is 132930084

GCF of denominators i.e. for 280,951,396 is 1.

Thus, LCM of Fractions is 132930084.Finally, LCM of Fractions for 394/280, 812/951, 831/396 is 132930084.