Least Common Multiple of 27/735, 47/273, 570/558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/735, 47/273, 570/558 quickly i.e. 80370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/735, 47/273, 570/558 is 80370.

LCM(27/735, 47/273, 570/558) = 80370

LCM of 27/735, 47/273, 570/558

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 27/735,47/273,570/558

Given numbers are 27/735,47/273,570/558

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 27,47,570

Least Common Multiple of Numerators i.e. LCM of 27,47,570 is 241110.

GCF of Denominators means GCF of 735,273,558 as per the given fractions.

GCF of 735,273,558 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,47,570

LCM of Fractions 27/735,47/273,570/558 is 80370

3 27, 47, 570
9, 47, 190

∴ So the LCM of the given numbers is 3 x 9 x 47 x 190 = 241110

Least Common Multiple of 27,47,570 with GCF Formula

Least Common Multiple of 27,47,570 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 27,47,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,47,570) = 1

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

GCF(27,47,570) x common factors =1 x 3 = 3

LCM(27,47,570) = ( 27 × 47 × 570 ) / 3

LCM(27,47,570) = 723330 / 3

LCM(27,47,570) = 241110


Lets's calculate GCF of 735,273,558

3 735, 273, 558
245, 91, 186

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 241110/3

Therefore the LCM of Fractions 27/735,47/273,570/558 is 80370

Greatest Common Factor of 735,273,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,273,558 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 735,273,558 . The biggest common factor number is the GCF number.
So the greatest common factor 735,273,558 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 27/735, 47/273, 570/558

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 27/735, 47/273, 570/558?

Answer: LCM of Numerators as per given numbers 27/735, 47/273, 570/558 is

LCM of Numerators i.e. for 27,47,570 is 241110

GCF of denominators i.e. for 735,273,558 is 3.

Thus, LCM of Fractions is 80370.Finally, LCM of Fractions for 27/735, 47/273, 570/558 is 80370.