Least Common Multiple of 231/54, 183/8750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 231/54, 183/8750 quickly i.e. 14091/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 231/54, 183/8750 is 14091/2.

LCM(231/54, 183/8750) = 14091/2

LCM of 231/54, 183/8750

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 231/54,183/8750

Given numbers are 231/54,183/8750

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 231,183

Least Common Multiple of Numerators i.e. LCM of 231,183 is 14091.

GCF of Denominators means GCF of 54,8750 as per the given fractions.

GCF of 54,8750 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 231,183

LCM of Fractions 231/54,183/8750 is 14091/2

3 231, 183
77, 61

∴ So the LCM of the given numbers is 3 x 77 x 61 = 14091

Least Common Multiple of 231,183 with GCF Formula

Least Common Multiple of 231,183 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 231,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,183) = 3

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

GCF(231,183) x common factors =3 x 1 = 3

LCM(231,183) = ( 231 × 183 ) / 3

LCM(231,183) = 42273 / 3

LCM(231,183) = 14091


Lets's calculate GCF of 54,8750

2 54, 8750
27, 4375

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14091/2

Therefore the LCM of Fractions 231/54,183/8750 is 14091/2

Greatest Common Factor of 54,8750 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,8750 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 8750

List of positive integer factors of 8750 that divides 8750 without a remainder.

1,2,5,7,10,14,25,35,50,70,125,175,250,350,625,875,1250,1750,4375,8750

Greatest Common Factor

We found the factors 54,8750 . The biggest common factor number is the GCF number.
So the greatest common factor 54,8750 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 231/54, 183/8750

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 231/54, 183/8750?

Answer: LCM of Numerators as per given numbers 231/54, 183/8750 is

LCM of Numerators i.e. for 231,183 is 14091

GCF of denominators i.e. for 54,8750 is 2.

Thus, LCM of Fractions is 14091/2.Finally, LCM of Fractions for 231/54, 183/8750 is 14091/2.