Least Common Multiple of 793/114, 259/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 793/114, 259/380 quickly i.e. 205387/38 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 793/114, 259/380 is 205387/38.

LCM(793/114, 259/380) = 205387/38

LCM of 793/114, 259/380

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 793/114,259/380

Given numbers are 793/114,259/380

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 793,259

Least Common Multiple of Numerators i.e. LCM of 793,259 is 205387.

GCF of Denominators means GCF of 114,380 as per the given fractions.

GCF of 114,380 is 38 as it is the largest common factor for these numbers.

Lets's calculate LCM of 793,259

LCM of Fractions 793/114,259/380 is 205387/38

Given numbers has no common factors except 1. So, there LCM is their product i.e 205387

Least Common Multiple of 793,259 with GCF Formula

Least Common Multiple of 793,259 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 793,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(793,259) = 1

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

GCF(793,259) x common factors =1 x 1 = 1

LCM(793,259) = ( 793 × 259 ) / 1

LCM(793,259) = 205387 / 1

LCM(793,259) = 205387


Lets's calculate GCF of 114,380

2 114, 380
19 57, 190
3, 10

∴ So the GCF of the given numbers is 2 x 19 = 38

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 205387/38

Therefore the LCM of Fractions 793/114,259/380 is 205387/38

Greatest Common Factor of 114,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 114,380 By Matching Biggest Common Factor Method

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 114,380 . The biggest common factor number is the GCF number.
So the greatest common factor 114,380 is 38.


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 793/114, 259/380

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 793/114, 259/380?

Answer: LCM of Numerators as per given numbers 793/114, 259/380 is

LCM of Numerators i.e. for 793,259 is 205387

GCF of denominators i.e. for 114,380 is 38.

Thus, LCM of Fractions is 205387/38.Finally, LCM of Fractions for 793/114, 259/380 is 205387/38.