Least Common Multiple of 449/81, 318/7692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 449/81, 318/7692 quickly i.e. 47594 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 449/81, 318/7692 is 47594.

LCM(449/81, 318/7692) = 47594

LCM of 449/81, 318/7692

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 449/81,318/7692

Given numbers are 449/81,318/7692

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 449,318

Least Common Multiple of Numerators i.e. LCM of 449,318 is 142782.

GCF of Denominators means GCF of 81,7692 as per the given fractions.

GCF of 81,7692 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 449,318

LCM of Fractions 449/81,318/7692 is 47594

Given numbers has no common factors except 1. So, there LCM is their product i.e 142782

Least Common Multiple of 449,318 with GCF Formula

Least Common Multiple of 449,318 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 449,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(449,318) = 1

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

GCF(449,318) x common factors =1 x 1 = 1

LCM(449,318) = ( 449 × 318 ) / 1

LCM(449,318) = 142782 / 1

LCM(449,318) = 142782


Lets's calculate GCF of 81,7692

3 81, 7692
27, 2564

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142782/3

Therefore the LCM of Fractions 449/81,318/7692 is 47594

Greatest Common Factor of 81,7692 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,7692 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 7692

List of positive integer factors of 7692 that divides 7692 without a remainder.

1,2,3,4,6,12,641,1282,1923,2564,3846,7692

Greatest Common Factor

We found the factors 81,7692 . The biggest common factor number is the GCF number.
So the greatest common factor 81,7692 is 3.


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 449/81, 318/7692

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 449/81, 318/7692?

Answer: LCM of Numerators as per given numbers 449/81, 318/7692 is

LCM of Numerators i.e. for 449,318 is 142782

GCF of denominators i.e. for 81,7692 is 3.

Thus, LCM of Fractions is 47594.Finally, LCM of Fractions for 449/81, 318/7692 is 47594.