Least Common Multiple of 19/120, 278/123, 741/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/120, 278/123, 741/819 quickly i.e. 68666 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/120, 278/123, 741/819 is 68666.

LCM(19/120, 278/123, 741/819) = 68666

LCM of 19/120, 278/123, 741/819

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 19/120,278/123,741/819

Given numbers are 19/120,278/123,741/819

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 19,278,741

Least Common Multiple of Numerators i.e. LCM of 19,278,741 is 205998.

GCF of Denominators means GCF of 120,123,819 as per the given fractions.

GCF of 120,123,819 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,278,741

LCM of Fractions 19/120,278/123,741/819 is 68666

19 19, 278, 741
1, 278, 39

∴ So the LCM of the given numbers is 19 x 1 x 278 x 39 = 205998

Least Common Multiple of 19,278,741 with GCF Formula

Least Common Multiple of 19,278,741 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 19,278,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,278,741) = 1

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

GCF(19,278,741) x common factors =1 x 19 = 19

LCM(19,278,741) = ( 19 × 278 × 741 ) / 19

LCM(19,278,741) = 3913962 / 19

LCM(19,278,741) = 205998


Lets's calculate GCF of 120,123,819

3 120, 123, 819
40, 41, 273

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 205998/3

Therefore the LCM of Fractions 19/120,278/123,741/819 is 68666

Greatest Common Factor of 120,123,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,123,819 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors 120,123,819 . The biggest common factor number is the GCF number.
So the greatest common factor 120,123,819 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 19/120, 278/123, 741/819

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 19/120, 278/123, 741/819?

Answer: LCM of Numerators as per given numbers 19/120, 278/123, 741/819 is

LCM of Numerators i.e. for 19,278,741 is 205998

GCF of denominators i.e. for 120,123,819 is 3.

Thus, LCM of Fractions is 68666.Finally, LCM of Fractions for 19/120, 278/123, 741/819 is 68666.