Least Common Multiple of 38/290, 126/192, 873/806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/290, 126/192, 873/806 quickly i.e. 116109 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/290, 126/192, 873/806 is 116109.

LCM(38/290, 126/192, 873/806) = 116109

LCM of 38/290, 126/192, 873/806

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 38/290,126/192,873/806

Given numbers are 38/290,126/192,873/806

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 38,126,873

Least Common Multiple of Numerators i.e. LCM of 38,126,873 is 232218.

GCF of Denominators means GCF of 290,192,806 as per the given fractions.

GCF of 290,192,806 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,126,873

LCM of Fractions 38/290,126/192,873/806 is 116109

2 38, 126, 873
3 19, 63, 873
3 19, 21, 291
19, 7, 97

∴ So the LCM of the given numbers is 2 x 3 x 3 x 19 x 7 x 97 = 232218

Least Common Multiple of 38,126,873 with GCF Formula

Least Common Multiple of 38,126,873 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 38,126,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,126,873) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(38,126,873) x common factors =1 x 18 = 18

LCM(38,126,873) = ( 38 × 126 × 873 ) / 18

LCM(38,126,873) = 4179924 / 18

LCM(38,126,873) = 232218


Lets's calculate GCF of 290,192,806

2 290, 192, 806
145, 96, 403

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 232218/2

Therefore the LCM of Fractions 38/290,126/192,873/806 is 116109

Greatest Common Factor of 290,192,806 By Matching Biggest Common Factor Method

Greatest Common Factor of 290,192,806 By Matching Biggest Common Factor Method

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Greatest Common Factor

We found the factors 290,192,806 . The biggest common factor number is the GCF number.
So the greatest common factor 290,192,806 is 2.


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 38/290, 126/192, 873/806

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 38/290, 126/192, 873/806?

Answer: LCM of Numerators as per given numbers 38/290, 126/192, 873/806 is

LCM of Numerators i.e. for 38,126,873 is 232218

GCF of denominators i.e. for 290,192,806 is 2.

Thus, LCM of Fractions is 116109.Finally, LCM of Fractions for 38/290, 126/192, 873/806 is 116109.