Least Common Multiple of 45/558, 66/834, 570/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/558, 66/834, 570/915 quickly i.e. 6270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/558, 66/834, 570/915 is 6270.

LCM(45/558, 66/834, 570/915) = 6270

LCM of 45/558, 66/834, 570/915

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 45/558,66/834,570/915

Given numbers are 45/558,66/834,570/915

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 45,66,570

Least Common Multiple of Numerators i.e. LCM of 45,66,570 is 18810.

GCF of Denominators means GCF of 558,834,915 as per the given fractions.

GCF of 558,834,915 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,66,570

LCM of Fractions 45/558,66/834,570/915 is 6270

2 45, 66, 570
3 45, 33, 285
5 15, 11, 95
3, 11, 19

∴ So the LCM of the given numbers is 2 x 3 x 5 x 3 x 11 x 19 = 18810

Least Common Multiple of 45,66,570 with GCF Formula

Least Common Multiple of 45,66,570 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 45,66,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,66,570) = 3

common factors(in case of two or more numbers have common factors) = 30

GCF(45,66,570) x common factors =3 x 30 = 90

LCM(45,66,570) = ( 45 × 66 × 570 ) / 90

LCM(45,66,570) = 1692900 / 90

LCM(45,66,570) = 18810


Lets's calculate GCF of 558,834,915

3 558, 834, 915
186, 278, 305

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18810/3

Therefore the LCM of Fractions 45/558,66/834,570/915 is 6270

Greatest Common Factor of 558,834,915 By Matching Biggest Common Factor Method

Greatest Common Factor of 558,834,915 By Matching Biggest Common Factor Method

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

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 558,834,915 . The biggest common factor number is the GCF number.
So the greatest common factor 558,834,915 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 45/558, 66/834, 570/915

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 45/558, 66/834, 570/915?

Answer: LCM of Numerators as per given numbers 45/558, 66/834, 570/915 is

LCM of Numerators i.e. for 45,66,570 is 18810

GCF of denominators i.e. for 558,834,915 is 3.

Thus, LCM of Fractions is 6270.Finally, LCM of Fractions for 45/558, 66/834, 570/915 is 6270.