Least Common Multiple of 819/50, 108/44, 219/777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 819/50, 108/44, 219/777 quickly i.e. 717444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 819/50, 108/44, 219/777 is 717444.

LCM(819/50, 108/44, 219/777) = 717444

LCM of 819/50, 108/44, 219/777

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 819/50,108/44,219/777

Given numbers are 819/50,108/44,219/777

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 819,108,219

Least Common Multiple of Numerators i.e. LCM of 819,108,219 is 717444.

GCF of Denominators means GCF of 50,44,777 as per the given fractions.

GCF of 50,44,777 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 819,108,219

LCM of Fractions 819/50,108/44,219/777 is 717444

3 819, 108, 219
3 273, 36, 73
91, 12, 73

∴ So the LCM of the given numbers is 3 x 3 x 91 x 12 x 73 = 717444

Least Common Multiple of 819,108,219 with GCF Formula

Least Common Multiple of 819,108,219 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 819,108,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(819,108,219) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(819,108,219) x common factors =3 x 9 = 27

LCM(819,108,219) = ( 819 × 108 × 219 ) / 27

LCM(819,108,219) = 19370988 / 27

LCM(819,108,219) = 717444


Lets's calculate GCF of 50,44,777

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 717444/1

Therefore the LCM of Fractions 819/50,108/44,219/777 is 717444

Greatest Common Factor of 50,44,777 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,44,777 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Greatest Common Factor

We found the factors 50,44,777 . The biggest common factor number is the GCF number.
So the greatest common factor 50,44,777 is 1.


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 819/50, 108/44, 219/777

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 819/50, 108/44, 219/777?

Answer: LCM of Numerators as per given numbers 819/50, 108/44, 219/777 is

LCM of Numerators i.e. for 819,108,219 is 717444

GCF of denominators i.e. for 50,44,777 is 1.

Thus, LCM of Fractions is 717444.Finally, LCM of Fractions for 819/50, 108/44, 219/777 is 717444.