Least Common Multiple of 81/321, 419/304, 507/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/321, 419/304, 507/772 quickly i.e. 5735691 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/321, 419/304, 507/772 is 5735691.

LCM(81/321, 419/304, 507/772) = 5735691

LCM of 81/321, 419/304, 507/772

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 81/321,419/304,507/772

Given numbers are 81/321,419/304,507/772

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 81,419,507

Least Common Multiple of Numerators i.e. LCM of 81,419,507 is 5735691.

GCF of Denominators means GCF of 321,304,772 as per the given fractions.

GCF of 321,304,772 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,419,507

LCM of Fractions 81/321,419/304,507/772 is 5735691

3 81, 419, 507
27, 419, 169

∴ So the LCM of the given numbers is 3 x 27 x 419 x 169 = 5735691

Least Common Multiple of 81,419,507 with GCF Formula

Least Common Multiple of 81,419,507 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 81,419,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,419,507) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(81,419,507) x common factors =1 x 3 = 3

LCM(81,419,507) = ( 81 × 419 × 507 ) / 3

LCM(81,419,507) = 17207073 / 3

LCM(81,419,507) = 5735691


Lets's calculate GCF of 321,304,772

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5735691/1

Therefore the LCM of Fractions 81/321,419/304,507/772 is 5735691

Greatest Common Factor of 321,304,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 321,304,772 By Matching Biggest Common Factor Method

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Greatest Common Factor

We found the factors 321,304,772 . The biggest common factor number is the GCF number.
So the greatest common factor 321,304,772 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 81/321, 419/304, 507/772

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 81/321, 419/304, 507/772?

Answer: LCM of Numerators as per given numbers 81/321, 419/304, 507/772 is

LCM of Numerators i.e. for 81,419,507 is 5735691

GCF of denominators i.e. for 321,304,772 is 1.

Thus, LCM of Fractions is 5735691.Finally, LCM of Fractions for 81/321, 419/304, 507/772 is 5735691.