Least Common Multiple of 313/34, 268/3238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 313/34, 268/3238 quickly i.e. 41942 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 313/34, 268/3238 is 41942.

LCM(313/34, 268/3238) = 41942

LCM of 313/34, 268/3238

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 313/34,268/3238

Given numbers are 313/34,268/3238

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 313,268

Least Common Multiple of Numerators i.e. LCM of 313,268 is 83884.

GCF of Denominators means GCF of 34,3238 as per the given fractions.

GCF of 34,3238 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 313,268

LCM of Fractions 313/34,268/3238 is 41942

Given numbers has no common factors except 1. So, there LCM is their product i.e 83884

Least Common Multiple of 313,268 with GCF Formula

Least Common Multiple of 313,268 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 313,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(313,268) = 1

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

GCF(313,268) x common factors =1 x 1 = 1

LCM(313,268) = ( 313 × 268 ) / 1

LCM(313,268) = 83884 / 1

LCM(313,268) = 83884


Lets's calculate GCF of 34,3238

2 34, 3238
17, 1619

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83884/2

Therefore the LCM of Fractions 313/34,268/3238 is 41942

Greatest Common Factor of 34,3238 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,3238 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 3238

List of positive integer factors of 3238 that divides 3238 without a remainder.

1,2,1619,3238

Greatest Common Factor

We found the factors 34,3238 . The biggest common factor number is the GCF number.
So the greatest common factor 34,3238 is 2.


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 313/34, 268/3238

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 313/34, 268/3238?

Answer: LCM of Numerators as per given numbers 313/34, 268/3238 is

LCM of Numerators i.e. for 313,268 is 83884

GCF of denominators i.e. for 34,3238 is 2.

Thus, LCM of Fractions is 41942.Finally, LCM of Fractions for 313/34, 268/3238 is 41942.