Least Common Multiple of 381/14, 618/8115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 381/14, 618/8115 quickly i.e. 78486 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 381/14, 618/8115 is 78486.

LCM(381/14, 618/8115) = 78486

LCM of 381/14, 618/8115

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 381/14,618/8115

Given numbers are 381/14,618/8115

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 381,618

Least Common Multiple of Numerators i.e. LCM of 381,618 is 78486.

GCF of Denominators means GCF of 14,8115 as per the given fractions.

GCF of 14,8115 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 381,618

LCM of Fractions 381/14,618/8115 is 78486

3 381, 618
127, 206

∴ So the LCM of the given numbers is 3 x 127 x 206 = 78486

Least Common Multiple of 381,618 with GCF Formula

Least Common Multiple of 381,618 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 381,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,618) = 3

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

GCF(381,618) x common factors =3 x 1 = 3

LCM(381,618) = ( 381 × 618 ) / 3

LCM(381,618) = 235458 / 3

LCM(381,618) = 78486


Lets's calculate GCF of 14,8115

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78486/1

Therefore the LCM of Fractions 381/14,618/8115 is 78486

Greatest Common Factor of 14,8115 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,8115 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 8115

List of positive integer factors of 8115 that divides 8115 without a remainder.

1,3,5,15,541,1623,2705,8115

Greatest Common Factor

We found the factors 14,8115 . The biggest common factor number is the GCF number.
So the greatest common factor 14,8115 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 381/14, 618/8115

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 381/14, 618/8115?

Answer: LCM of Numerators as per given numbers 381/14, 618/8115 is

LCM of Numerators i.e. for 381,618 is 78486

GCF of denominators i.e. for 14,8115 is 1.

Thus, LCM of Fractions is 78486.Finally, LCM of Fractions for 381/14, 618/8115 is 78486.