Least Common Multiple of 8438/381, 9115/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8438/381, 9115/103 quickly i.e. 76912370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8438/381, 9115/103 is 76912370.

LCM(8438/381, 9115/103) = 76912370

LCM of 8438/381, 9115/103

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 8438/381,9115/103

Given numbers are 8438/381,9115/103

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 8438,9115

Least Common Multiple of Numerators i.e. LCM of 8438,9115 is 76912370.

GCF of Denominators means GCF of 381,103 as per the given fractions.

GCF of 381,103 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8438,9115

LCM of Fractions 8438/381,9115/103 is 76912370

Given numbers has no common factors except 1. So, there LCM is their product i.e 76912370

Least Common Multiple of 8438,9115 with GCF Formula

Least Common Multiple of 8438,9115 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 8438,9115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8438,9115) = 1

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

GCF(8438,9115) x common factors =1 x 1 = 1

LCM(8438,9115) = ( 8438 × 9115 ) / 1

LCM(8438,9115) = 76912370 / 1

LCM(8438,9115) = 76912370


Lets's calculate GCF of 381,103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76912370/1

Therefore the LCM of Fractions 8438/381,9115/103 is 76912370

Greatest Common Factor of 381,103 By Matching Biggest Common Factor Method

Greatest Common Factor of 381,103 By Matching Biggest Common Factor Method

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Greatest Common Factor

We found the factors 381,103 . The biggest common factor number is the GCF number.
So the greatest common factor 381,103 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 8438/381, 9115/103

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 8438/381, 9115/103?

Answer: LCM of Numerators as per given numbers 8438/381, 9115/103 is

LCM of Numerators i.e. for 8438,9115 is 76912370

GCF of denominators i.e. for 381,103 is 1.

Thus, LCM of Fractions is 76912370.Finally, LCM of Fractions for 8438/381, 9115/103 is 76912370.