Least Common Multiple of 930/81, 327/4749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 930/81, 327/4749 quickly i.e. 33790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 930/81, 327/4749 is 33790.

LCM(930/81, 327/4749) = 33790

LCM of 930/81, 327/4749

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 930/81,327/4749

Given numbers are 930/81,327/4749

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 930,327

Least Common Multiple of Numerators i.e. LCM of 930,327 is 101370.

GCF of Denominators means GCF of 81,4749 as per the given fractions.

GCF of 81,4749 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 930,327

LCM of Fractions 930/81,327/4749 is 33790

3 930, 327
310, 109

∴ So the LCM of the given numbers is 3 x 310 x 109 = 101370

Least Common Multiple of 930,327 with GCF Formula

Least Common Multiple of 930,327 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 930,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(930,327) = 3

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

GCF(930,327) x common factors =3 x 1 = 3

LCM(930,327) = ( 930 × 327 ) / 3

LCM(930,327) = 304110 / 3

LCM(930,327) = 101370


Lets's calculate GCF of 81,4749

3 81, 4749
27, 1583

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101370/3

Therefore the LCM of Fractions 930/81,327/4749 is 33790

Greatest Common Factor of 81,4749 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,4749 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 4749

List of positive integer factors of 4749 that divides 4749 without a remainder.

1,3,1583,4749

Greatest Common Factor

We found the factors 81,4749 . The biggest common factor number is the GCF number.
So the greatest common factor 81,4749 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 930/81, 327/4749

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 930/81, 327/4749?

Answer: LCM of Numerators as per given numbers 930/81, 327/4749 is

LCM of Numerators i.e. for 930,327 is 101370

GCF of denominators i.e. for 81,4749 is 3.

Thus, LCM of Fractions is 33790.Finally, LCM of Fractions for 930/81, 327/4749 is 33790.