Least Common Multiple of 931/16, 517/8205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 931/16, 517/8205 quickly i.e. 481327 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 931/16, 517/8205 is 481327.

LCM(931/16, 517/8205) = 481327

LCM of 931/16, 517/8205

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 931/16,517/8205

Given numbers are 931/16,517/8205

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 931,517

Least Common Multiple of Numerators i.e. LCM of 931,517 is 481327.

GCF of Denominators means GCF of 16,8205 as per the given fractions.

GCF of 16,8205 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 931,517

LCM of Fractions 931/16,517/8205 is 481327

Given numbers has no common factors except 1. So, there LCM is their product i.e 481327

Least Common Multiple of 931,517 with GCF Formula

Least Common Multiple of 931,517 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 931,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(931,517) = 1

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

GCF(931,517) x common factors =1 x 1 = 1

LCM(931,517) = ( 931 × 517 ) / 1

LCM(931,517) = 481327 / 1

LCM(931,517) = 481327


Lets's calculate GCF of 16,8205

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 481327/1

Therefore the LCM of Fractions 931/16,517/8205 is 481327

Greatest Common Factor of 16,8205 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,8205 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 8205

List of positive integer factors of 8205 that divides 8205 without a remainder.

1,3,5,15,547,1641,2735,8205

Greatest Common Factor

We found the factors 16,8205 . The biggest common factor number is the GCF number.
So the greatest common factor 16,8205 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 931/16, 517/8205

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 931/16, 517/8205?

Answer: LCM of Numerators as per given numbers 931/16, 517/8205 is

LCM of Numerators i.e. for 931,517 is 481327

GCF of denominators i.e. for 16,8205 is 1.

Thus, LCM of Fractions is 481327.Finally, LCM of Fractions for 931/16, 517/8205 is 481327.