Least Common Multiple of 30/27, 90/419, 531/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/27, 90/419, 531/224 quickly i.e. 5310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/27, 90/419, 531/224 is 5310.

LCM(30/27, 90/419, 531/224) = 5310

LCM of 30/27, 90/419, 531/224

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 30/27,90/419,531/224

Given numbers are 30/27,90/419,531/224

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 30,90,531

Least Common Multiple of Numerators i.e. LCM of 30,90,531 is 5310.

GCF of Denominators means GCF of 27,419,224 as per the given fractions.

GCF of 27,419,224 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,90,531

LCM of Fractions 30/27,90/419,531/224 is 5310

2 30, 90, 531
3 15, 45, 531
3 5, 15, 177
5 5, 5, 59
1, 1, 59

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 1 x 59 = 5310

Least Common Multiple of 30,90,531 with GCF Formula

Least Common Multiple of 30,90,531 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 30,90,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,90,531) = 3

common factors(in case of two or more numbers have common factors) = 90

GCF(30,90,531) x common factors =3 x 90 = 270

LCM(30,90,531) = ( 30 × 90 × 531 ) / 270

LCM(30,90,531) = 1433700 / 270

LCM(30,90,531) = 5310


Lets's calculate GCF of 27,419,224

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5310/1

Therefore the LCM of Fractions 30/27,90/419,531/224 is 5310

Greatest Common Factor of 27,419,224 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,419,224 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Greatest Common Factor

We found the factors 27,419,224 . The biggest common factor number is the GCF number.
So the greatest common factor 27,419,224 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 30/27, 90/419, 531/224

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 30/27, 90/419, 531/224?

Answer: LCM of Numerators as per given numbers 30/27, 90/419, 531/224 is

LCM of Numerators i.e. for 30,90,531 is 5310

GCF of denominators i.e. for 27,419,224 is 1.

Thus, LCM of Fractions is 5310.Finally, LCM of Fractions for 30/27, 90/419, 531/224 is 5310.