Least Common Multiple of 19/579, 133/558, 365/273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/579, 133/558, 365/273 quickly i.e. 48545/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/579, 133/558, 365/273 is 48545/3.

LCM(19/579, 133/558, 365/273) = 48545/3

LCM of 19/579, 133/558, 365/273

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 19/579,133/558,365/273

Given numbers are 19/579,133/558,365/273

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 19,133,365

Least Common Multiple of Numerators i.e. LCM of 19,133,365 is 48545.

GCF of Denominators means GCF of 579,558,273 as per the given fractions.

GCF of 579,558,273 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,133,365

LCM of Fractions 19/579,133/558,365/273 is 48545/3

19 19, 133, 365
1, 7, 365

∴ So the LCM of the given numbers is 19 x 1 x 7 x 365 = 48545

Least Common Multiple of 19,133,365 with GCF Formula

Least Common Multiple of 19,133,365 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 19,133,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,133,365) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(19,133,365) x common factors =1 x 19 = 19

LCM(19,133,365) = ( 19 × 133 × 365 ) / 19

LCM(19,133,365) = 922355 / 19

LCM(19,133,365) = 48545


Lets's calculate GCF of 579,558,273

3 579, 558, 273
193, 186, 91

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48545/3

Therefore the LCM of Fractions 19/579,133/558,365/273 is 48545/3

Greatest Common Factor of 579,558,273 By Matching Biggest Common Factor Method

Greatest Common Factor of 579,558,273 By Matching Biggest Common Factor Method

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

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 273

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

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

Greatest Common Factor

We found the factors 579,558,273 . The biggest common factor number is the GCF number.
So the greatest common factor 579,558,273 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 19/579, 133/558, 365/273

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 19/579, 133/558, 365/273?

Answer: LCM of Numerators as per given numbers 19/579, 133/558, 365/273 is

LCM of Numerators i.e. for 19,133,365 is 48545

GCF of denominators i.e. for 579,558,273 is 3.

Thus, LCM of Fractions is 48545/3.Finally, LCM of Fractions for 19/579, 133/558, 365/273 is 48545/3.