Least Common Multiple of 817/65, 313/3394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 817/65, 313/3394 quickly i.e. 255721 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 817/65, 313/3394 is 255721.

LCM(817/65, 313/3394) = 255721

LCM of 817/65, 313/3394

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 817/65,313/3394

Given numbers are 817/65,313/3394

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 817,313

Least Common Multiple of Numerators i.e. LCM of 817,313 is 255721.

GCF of Denominators means GCF of 65,3394 as per the given fractions.

GCF of 65,3394 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 817,313

LCM of Fractions 817/65,313/3394 is 255721

Given numbers has no common factors except 1. So, there LCM is their product i.e 255721

Least Common Multiple of 817,313 with GCF Formula

Least Common Multiple of 817,313 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 817,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(817,313) = 1

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

GCF(817,313) x common factors =1 x 1 = 1

LCM(817,313) = ( 817 × 313 ) / 1

LCM(817,313) = 255721 / 1

LCM(817,313) = 255721


Lets's calculate GCF of 65,3394

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 255721/1

Therefore the LCM of Fractions 817/65,313/3394 is 255721

Greatest Common Factor of 65,3394 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,3394 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 3394

List of positive integer factors of 3394 that divides 3394 without a remainder.

1,2,1697,3394

Greatest Common Factor

We found the factors 65,3394 . The biggest common factor number is the GCF number.
So the greatest common factor 65,3394 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 817/65, 313/3394

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 817/65, 313/3394?

Answer: LCM of Numerators as per given numbers 817/65, 313/3394 is

LCM of Numerators i.e. for 817,313 is 255721

GCF of denominators i.e. for 65,3394 is 1.

Thus, LCM of Fractions is 255721.Finally, LCM of Fractions for 817/65, 313/3394 is 255721.