Least Common Multiple of 78/198, 23/450, 814/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/198, 23/450, 814/579 quickly i.e. 243386 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/198, 23/450, 814/579 is 243386.

LCM(78/198, 23/450, 814/579) = 243386

LCM of 78/198, 23/450, 814/579

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 78/198,23/450,814/579

Given numbers are 78/198,23/450,814/579

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 78,23,814

Least Common Multiple of Numerators i.e. LCM of 78,23,814 is 730158.

GCF of Denominators means GCF of 198,450,579 as per the given fractions.

GCF of 198,450,579 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,23,814

LCM of Fractions 78/198,23/450,814/579 is 243386

2 78, 23, 814
39, 23, 407

∴ So the LCM of the given numbers is 2 x 39 x 23 x 407 = 730158

Least Common Multiple of 78,23,814 with GCF Formula

Least Common Multiple of 78,23,814 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 78,23,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,23,814) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(78,23,814) x common factors =1 x 2 = 2

LCM(78,23,814) = ( 78 × 23 × 814 ) / 2

LCM(78,23,814) = 1460316 / 2

LCM(78,23,814) = 730158


Lets's calculate GCF of 198,450,579

3 198, 450, 579
66, 150, 193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 730158/3

Therefore the LCM of Fractions 78/198,23/450,814/579 is 243386

Greatest Common Factor of 198,450,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,450,579 By Matching Biggest Common Factor Method

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

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

Factors of 579

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

1,3,193,579

Greatest Common Factor

We found the factors 198,450,579 . The biggest common factor number is the GCF number.
So the greatest common factor 198,450,579 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 78/198, 23/450, 814/579

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 78/198, 23/450, 814/579?

Answer: LCM of Numerators as per given numbers 78/198, 23/450, 814/579 is

LCM of Numerators i.e. for 78,23,814 is 730158

GCF of denominators i.e. for 198,450,579 is 3.

Thus, LCM of Fractions is 243386.Finally, LCM of Fractions for 78/198, 23/450, 814/579 is 243386.