Least Common Multiple of 623/38, 195/40, 831/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 623/38, 195/40, 831/398 quickly i.e. 33651345/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 623/38, 195/40, 831/398 is 33651345/2.

LCM(623/38, 195/40, 831/398) = 33651345/2

LCM of 623/38, 195/40, 831/398

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 623/38,195/40,831/398

Given numbers are 623/38,195/40,831/398

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 623,195,831

Least Common Multiple of Numerators i.e. LCM of 623,195,831 is 33651345.

GCF of Denominators means GCF of 38,40,398 as per the given fractions.

GCF of 38,40,398 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 623,195,831

LCM of Fractions 623/38,195/40,831/398 is 33651345/2

3 623, 195, 831
623, 65, 277

∴ So the LCM of the given numbers is 3 x 623 x 65 x 277 = 33651345

Least Common Multiple of 623,195,831 with GCF Formula

Least Common Multiple of 623,195,831 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 623,195,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(623,195,831) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(623,195,831) x common factors =1 x 3 = 3

LCM(623,195,831) = ( 623 × 195 × 831 ) / 3

LCM(623,195,831) = 100954035 / 3

LCM(623,195,831) = 33651345


Lets's calculate GCF of 38,40,398

2 38, 40, 398
19, 20, 199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33651345/2

Therefore the LCM of Fractions 623/38,195/40,831/398 is 33651345/2

Greatest Common Factor of 38,40,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,40,398 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 38,40,398 . The biggest common factor number is the GCF number.
So the greatest common factor 38,40,398 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 623/38, 195/40, 831/398

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 623/38, 195/40, 831/398?

Answer: LCM of Numerators as per given numbers 623/38, 195/40, 831/398 is

LCM of Numerators i.e. for 623,195,831 is 33651345

GCF of denominators i.e. for 38,40,398 is 2.

Thus, LCM of Fractions is 33651345/2.Finally, LCM of Fractions for 623/38, 195/40, 831/398 is 33651345/2.