Least Common Multiple of 866/50, 729/80, 517/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 866/50, 729/80, 517/399 quickly i.e. 326389338 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 866/50, 729/80, 517/399 is 326389338.

LCM(866/50, 729/80, 517/399) = 326389338

LCM of 866/50, 729/80, 517/399

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 866/50,729/80,517/399

Given numbers are 866/50,729/80,517/399

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 866,729,517

Least Common Multiple of Numerators i.e. LCM of 866,729,517 is 326389338.

GCF of Denominators means GCF of 50,80,399 as per the given fractions.

GCF of 50,80,399 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 866,729,517

LCM of Fractions 866/50,729/80,517/399 is 326389338

Given numbers has no common factors except 1. So, there LCM is their product i.e 326389338

Least Common Multiple of 866,729,517 with GCF Formula

Least Common Multiple of 866,729,517 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 866,729,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(866,729,517) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(866,729,517) x common factors =1 x 1 = 1

LCM(866,729,517) = ( 866 × 729 × 517 ) / 1

LCM(866,729,517) = 326389338 / 1

LCM(866,729,517) = 326389338


Lets's calculate GCF of 50,80,399

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 326389338/1

Therefore the LCM of Fractions 866/50,729/80,517/399 is 326389338

Greatest Common Factor of 50,80,399 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,80,399 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

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 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors 50,80,399 . The biggest common factor number is the GCF number.
So the greatest common factor 50,80,399 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 866/50, 729/80, 517/399

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 866/50, 729/80, 517/399?

Answer: LCM of Numerators as per given numbers 866/50, 729/80, 517/399 is

LCM of Numerators i.e. for 866,729,517 is 326389338

GCF of denominators i.e. for 50,80,399 is 1.

Thus, LCM of Fractions is 326389338.Finally, LCM of Fractions for 866/50, 729/80, 517/399 is 326389338.