Least Common Multiple of 2314/194, 4986/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2314/194, 4986/243 quickly i.e. 5768802 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2314/194, 4986/243 is 5768802.

LCM(2314/194, 4986/243) = 5768802

LCM of 2314/194, 4986/243

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 2314/194,4986/243

Given numbers are 2314/194,4986/243

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 2314,4986

Least Common Multiple of Numerators i.e. LCM of 2314,4986 is 5768802.

GCF of Denominators means GCF of 194,243 as per the given fractions.

GCF of 194,243 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2314,4986

LCM of Fractions 2314/194,4986/243 is 5768802

2 2314, 4986
1157, 2493

∴ So the LCM of the given numbers is 2 x 1157 x 2493 = 5768802

Least Common Multiple of 2314,4986 with GCF Formula

Least Common Multiple of 2314,4986 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 2314,4986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2314,4986) = 2

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

GCF(2314,4986) x common factors =2 x 1 = 2

LCM(2314,4986) = ( 2314 × 4986 ) / 2

LCM(2314,4986) = 11537604 / 2

LCM(2314,4986) = 5768802


Lets's calculate GCF of 194,243

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5768802/1

Therefore the LCM of Fractions 2314/194,4986/243 is 5768802

Greatest Common Factor of 194,243 By Matching Biggest Common Factor Method

Greatest Common Factor of 194,243 By Matching Biggest Common Factor Method

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

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 194,243 . The biggest common factor number is the GCF number.
So the greatest common factor 194,243 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 2314/194, 4986/243

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 2314/194, 4986/243?

Answer: LCM of Numerators as per given numbers 2314/194, 4986/243 is

LCM of Numerators i.e. for 2314,4986 is 5768802

GCF of denominators i.e. for 194,243 is 1.

Thus, LCM of Fractions is 5768802.Finally, LCM of Fractions for 2314/194, 4986/243 is 5768802.