Least Common Multiple of 19/558, 578/825, 361/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/558, 578/825, 361/450 quickly i.e. 208658/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/558, 578/825, 361/450 is 208658/3.

LCM(19/558, 578/825, 361/450) = 208658/3

LCM of 19/558, 578/825, 361/450

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 19/558,578/825,361/450

Given numbers are 19/558,578/825,361/450

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 19,578,361

Least Common Multiple of Numerators i.e. LCM of 19,578,361 is 208658.

GCF of Denominators means GCF of 558,825,450 as per the given fractions.

GCF of 558,825,450 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,578,361

LCM of Fractions 19/558,578/825,361/450 is 208658/3

19 19, 578, 361
1, 578, 19

∴ So the LCM of the given numbers is 19 x 1 x 578 x 19 = 208658

Least Common Multiple of 19,578,361 with GCF Formula

Least Common Multiple of 19,578,361 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 19,578,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,578,361) = 1

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

GCF(19,578,361) x common factors =1 x 19 = 19

LCM(19,578,361) = ( 19 × 578 × 361 ) / 19

LCM(19,578,361) = 3964502 / 19

LCM(19,578,361) = 208658


Lets's calculate GCF of 558,825,450

3 558, 825, 450
186, 275, 150

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 208658/3

Therefore the LCM of Fractions 19/558,578/825,361/450 is 208658/3

Greatest Common Factor of 558,825,450 By Matching Biggest Common Factor Method

Greatest Common Factor of 558,825,450 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 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Greatest Common Factor

We found the factors 558,825,450 . The biggest common factor number is the GCF number.
So the greatest common factor 558,825,450 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 19/558, 578/825, 361/450

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 19/558, 578/825, 361/450?

Answer: LCM of Numerators as per given numbers 19/558, 578/825, 361/450 is

LCM of Numerators i.e. for 19,578,361 is 208658

GCF of denominators i.e. for 558,825,450 is 3.

Thus, LCM of Fractions is 208658/3.Finally, LCM of Fractions for 19/558, 578/825, 361/450 is 208658/3.