Least Common Multiple of 318/76, 9411/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 318/76, 9411/243 quickly i.e. 997566 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 318/76, 9411/243 is 997566.

LCM(318/76, 9411/243) = 997566

LCM of 318/76, 9411/243

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 318/76,9411/243

Given numbers are 318/76,9411/243

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 318,9411

Least Common Multiple of Numerators i.e. LCM of 318,9411 is 997566.

GCF of Denominators means GCF of 76,243 as per the given fractions.

GCF of 76,243 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 318,9411

LCM of Fractions 318/76,9411/243 is 997566

3 318, 9411
106, 3137

∴ So the LCM of the given numbers is 3 x 106 x 3137 = 997566

Least Common Multiple of 318,9411 with GCF Formula

Least Common Multiple of 318,9411 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 318,9411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,9411) = 3

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

GCF(318,9411) x common factors =3 x 1 = 3

LCM(318,9411) = ( 318 × 9411 ) / 3

LCM(318,9411) = 2992698 / 3

LCM(318,9411) = 997566


Lets's calculate GCF of 76,243

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 997566/1

Therefore the LCM of Fractions 318/76,9411/243 is 997566

Greatest Common Factor of 76,243 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,243 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Greatest Common Factor

We found the factors 76,243 . The biggest common factor number is the GCF number.
So the greatest common factor 76,243 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 318/76, 9411/243

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 318/76, 9411/243?

Answer: LCM of Numerators as per given numbers 318/76, 9411/243 is

LCM of Numerators i.e. for 318,9411 is 997566

GCF of denominators i.e. for 76,243 is 1.

Thus, LCM of Fractions is 997566.Finally, LCM of Fractions for 318/76, 9411/243 is 997566.