Least Common Multiple of 30/272, 39/820, 855/311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/272, 39/820, 855/311 quickly i.e. 22230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/272, 39/820, 855/311 is 22230.

LCM(30/272, 39/820, 855/311) = 22230

LCM of 30/272, 39/820, 855/311

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 30/272,39/820,855/311

Given numbers are 30/272,39/820,855/311

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 30,39,855

Least Common Multiple of Numerators i.e. LCM of 30,39,855 is 22230.

GCF of Denominators means GCF of 272,820,311 as per the given fractions.

GCF of 272,820,311 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,39,855

LCM of Fractions 30/272,39/820,855/311 is 22230

3 30, 39, 855
5 10, 13, 285
2, 13, 57

∴ So the LCM of the given numbers is 3 x 5 x 2 x 13 x 57 = 22230

Least Common Multiple of 30,39,855 with GCF Formula

Least Common Multiple of 30,39,855 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 30,39,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,39,855) = 3

common factors(in case of two or more numbers have common factors) = 15

GCF(30,39,855) x common factors =3 x 15 = 45

LCM(30,39,855) = ( 30 × 39 × 855 ) / 45

LCM(30,39,855) = 1000350 / 45

LCM(30,39,855) = 22230


Lets's calculate GCF of 272,820,311

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22230/1

Therefore the LCM of Fractions 30/272,39/820,855/311 is 22230

Greatest Common Factor of 272,820,311 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,820,311 By Matching Biggest Common Factor Method

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Greatest Common Factor

We found the factors 272,820,311 . The biggest common factor number is the GCF number.
So the greatest common factor 272,820,311 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 30/272, 39/820, 855/311

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 30/272, 39/820, 855/311?

Answer: LCM of Numerators as per given numbers 30/272, 39/820, 855/311 is

LCM of Numerators i.e. for 30,39,855 is 22230

GCF of denominators i.e. for 272,820,311 is 1.

Thus, LCM of Fractions is 22230.Finally, LCM of Fractions for 30/272, 39/820, 855/311 is 22230.