Least Common Multiple of 9381/908, 5961/5074

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9381/908, 5961/5074 quickly i.e. 18640047/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9381/908, 5961/5074 is 18640047/2.

LCM(9381/908, 5961/5074) = 18640047/2

LCM of 9381/908, 5961/5074

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 9381/908,5961/5074

Given numbers are 9381/908,5961/5074

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 9381,5961

Least Common Multiple of Numerators i.e. LCM of 9381,5961 is 18640047.

GCF of Denominators means GCF of 908,5074 as per the given fractions.

GCF of 908,5074 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9381,5961

LCM of Fractions 9381/908,5961/5074 is 18640047/2

3 9381, 5961
3127, 1987

∴ So the LCM of the given numbers is 3 x 3127 x 1987 = 18640047

Least Common Multiple of 9381,5961 with GCF Formula

Least Common Multiple of 9381,5961 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 9381,5961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9381,5961) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(9381,5961) x common factors =3 x 1 = 3

LCM(9381,5961) = ( 9381 × 5961 ) / 3

LCM(9381,5961) = 55920141 / 3

LCM(9381,5961) = 18640047


Lets's calculate GCF of 908,5074

2 908, 5074
454, 2537

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18640047/2

Therefore the LCM of Fractions 9381/908,5961/5074 is 18640047/2

Greatest Common Factor of 908,5074 By Matching Biggest Common Factor Method

Greatest Common Factor of 908,5074 By Matching Biggest Common Factor Method

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Factors of 5074

List of positive integer factors of 5074 that divides 5074 without a remainder.

1,2,43,59,86,118,2537,5074

Greatest Common Factor

We found the factors 908,5074 . The biggest common factor number is the GCF number.
So the greatest common factor 908,5074 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 9381/908, 5961/5074

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 9381/908, 5961/5074?

Answer: LCM of Numerators as per given numbers 9381/908, 5961/5074 is

LCM of Numerators i.e. for 9381,5961 is 18640047

GCF of denominators i.e. for 908,5074 is 2.

Thus, LCM of Fractions is 18640047/2.Finally, LCM of Fractions for 9381/908, 5961/5074 is 18640047/2.