Least Common Multiple of 38/181, 5138/2087

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/181, 5138/2087 quickly i.e. 97622 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/181, 5138/2087 is 97622.

LCM(38/181, 5138/2087) = 97622

LCM of 38/181, 5138/2087

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 38/181,5138/2087

Given numbers are 38/181,5138/2087

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 38,5138

Least Common Multiple of Numerators i.e. LCM of 38,5138 is 97622.

GCF of Denominators means GCF of 181,2087 as per the given fractions.

GCF of 181,2087 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,5138

LCM of Fractions 38/181,5138/2087 is 97622

2 38, 5138
19, 2569

∴ So the LCM of the given numbers is 2 x 19 x 2569 = 97622

Least Common Multiple of 38,5138 with GCF Formula

Least Common Multiple of 38,5138 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 38,5138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,5138) = 2

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

GCF(38,5138) x common factors =2 x 1 = 2

LCM(38,5138) = ( 38 × 5138 ) / 2

LCM(38,5138) = 195244 / 2

LCM(38,5138) = 97622


Lets's calculate GCF of 181,2087

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97622/1

Therefore the LCM of Fractions 38/181,5138/2087 is 97622

Greatest Common Factor of 181,2087 By Matching Biggest Common Factor Method

Greatest Common Factor of 181,2087 By Matching Biggest Common Factor Method

Factors of 181

List of positive integer factors of 181 that divides 181 without a remainder.

1,181

Factors of 2087

List of positive integer factors of 2087 that divides 2087 without a remainder.

1,2087

Greatest Common Factor

We found the factors 181,2087 . The biggest common factor number is the GCF number.
So the greatest common factor 181,2087 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 38/181, 5138/2087

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 38/181, 5138/2087?

Answer: LCM of Numerators as per given numbers 38/181, 5138/2087 is

LCM of Numerators i.e. for 38,5138 is 97622

GCF of denominators i.e. for 181,2087 is 1.

Thus, LCM of Fractions is 97622.Finally, LCM of Fractions for 38/181, 5138/2087 is 97622.