Least Common Multiple of 38/255, 7082/3963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/255, 7082/3963 quickly i.e. 134558/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/255, 7082/3963 is 134558/3.

LCM(38/255, 7082/3963) = 134558/3

LCM of 38/255, 7082/3963

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 38/255,7082/3963

Given numbers are 38/255,7082/3963

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 38,7082

Least Common Multiple of Numerators i.e. LCM of 38,7082 is 134558.

GCF of Denominators means GCF of 255,3963 as per the given fractions.

GCF of 255,3963 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,7082

LCM of Fractions 38/255,7082/3963 is 134558/3

2 38, 7082
19, 3541

∴ So the LCM of the given numbers is 2 x 19 x 3541 = 134558

Least Common Multiple of 38,7082 with GCF Formula

Least Common Multiple of 38,7082 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 38,7082 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,7082) = 2

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

GCF(38,7082) x common factors =2 x 1 = 2

LCM(38,7082) = ( 38 × 7082 ) / 2

LCM(38,7082) = 269116 / 2

LCM(38,7082) = 134558


Lets's calculate GCF of 255,3963

3 255, 3963
85, 1321

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134558/3

Therefore the LCM of Fractions 38/255,7082/3963 is 134558/3

Greatest Common Factor of 255,3963 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,3963 By Matching Biggest Common Factor Method

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 3963

List of positive integer factors of 3963 that divides 3963 without a remainder.

1,3,1321,3963

Greatest Common Factor

We found the factors 255,3963 . The biggest common factor number is the GCF number.
So the greatest common factor 255,3963 is 3.


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 38/255, 7082/3963

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 38/255, 7082/3963?

Answer: LCM of Numerators as per given numbers 38/255, 7082/3963 is

LCM of Numerators i.e. for 38,7082 is 134558

GCF of denominators i.e. for 255,3963 is 3.

Thus, LCM of Fractions is 134558/3.Finally, LCM of Fractions for 38/255, 7082/3963 is 134558/3.