Least Common Multiple of 337/52, 238/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 337/52, 238/414 quickly i.e. 40103 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 337/52, 238/414 is 40103.

LCM(337/52, 238/414) = 40103

LCM of 337/52, 238/414

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 337/52,238/414

Given numbers are 337/52,238/414

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 337,238

Least Common Multiple of Numerators i.e. LCM of 337,238 is 80206.

GCF of Denominators means GCF of 52,414 as per the given fractions.

GCF of 52,414 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 337,238

LCM of Fractions 337/52,238/414 is 40103

Given numbers has no common factors except 1. So, there LCM is their product i.e 80206

Least Common Multiple of 337,238 with GCF Formula

Least Common Multiple of 337,238 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 337,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(337,238) = 1

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

GCF(337,238) x common factors =1 x 1 = 1

LCM(337,238) = ( 337 × 238 ) / 1

LCM(337,238) = 80206 / 1

LCM(337,238) = 80206


Lets's calculate GCF of 52,414

2 52, 414
26, 207

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80206/2

Therefore the LCM of Fractions 337/52,238/414 is 40103

Greatest Common Factor of 52,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,414 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 52,414 . The biggest common factor number is the GCF number.
So the greatest common factor 52,414 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 337/52, 238/414

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 337/52, 238/414?

Answer: LCM of Numerators as per given numbers 337/52, 238/414 is

LCM of Numerators i.e. for 337,238 is 80206

GCF of denominators i.e. for 52,414 is 2.

Thus, LCM of Fractions is 40103.Finally, LCM of Fractions for 337/52, 238/414 is 40103.