Least Common Multiple of 381/92, 534/26, 831/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 381/92, 534/26, 831/816 quickly i.e. 9392793 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 381/92, 534/26, 831/816 is 9392793.

LCM(381/92, 534/26, 831/816) = 9392793

LCM of 381/92, 534/26, 831/816

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 381/92,534/26,831/816

Given numbers are 381/92,534/26,831/816

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 381,534,831

Least Common Multiple of Numerators i.e. LCM of 381,534,831 is 18785586.

GCF of Denominators means GCF of 92,26,816 as per the given fractions.

GCF of 92,26,816 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 381,534,831

LCM of Fractions 381/92,534/26,831/816 is 9392793

3 381, 534, 831
127, 178, 277

∴ So the LCM of the given numbers is 3 x 127 x 178 x 277 = 18785586

Least Common Multiple of 381,534,831 with GCF Formula

Least Common Multiple of 381,534,831 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 381,534,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,534,831) = 3

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

GCF(381,534,831) x common factors =3 x 3 = 9

LCM(381,534,831) = ( 381 × 534 × 831 ) / 9

LCM(381,534,831) = 169070274 / 9

LCM(381,534,831) = 18785586


Lets's calculate GCF of 92,26,816

2 92, 26, 816
46, 13, 408

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18785586/2

Therefore the LCM of Fractions 381/92,534/26,831/816 is 9392793

Greatest Common Factor of 92,26,816 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,26,816 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Greatest Common Factor

We found the factors 92,26,816 . The biggest common factor number is the GCF number.
So the greatest common factor 92,26,816 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 381/92, 534/26, 831/816

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 381/92, 534/26, 831/816?

Answer: LCM of Numerators as per given numbers 381/92, 534/26, 831/816 is

LCM of Numerators i.e. for 381,534,831 is 18785586

GCF of denominators i.e. for 92,26,816 is 2.

Thus, LCM of Fractions is 9392793.Finally, LCM of Fractions for 381/92, 534/26, 831/816 is 9392793.