Least Common Multiple of 271/93, 223/31, 189/124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 271/93, 223/31, 189/124 quickly i.e. 11421837/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 271/93, 223/31, 189/124 is 11421837/31.

LCM(271/93, 223/31, 189/124) = 11421837/31

LCM of 271/93, 223/31, 189/124

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 271/93,223/31,189/124

Given numbers are 271/93,223/31,189/124

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 271,223,189

Least Common Multiple of Numerators i.e. LCM of 271,223,189 is 11421837.

GCF of Denominators means GCF of 93,31,124 as per the given fractions.

GCF of 93,31,124 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 271,223,189

LCM of Fractions 271/93,223/31,189/124 is 11421837/31

Given numbers has no common factors except 1. So, there LCM is their product i.e 11421837

Least Common Multiple of 271,223,189 with GCF Formula

Least Common Multiple of 271,223,189 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 271,223,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,223,189) = 1

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

GCF(271,223,189) x common factors =1 x 1 = 1

LCM(271,223,189) = ( 271 × 223 × 189 ) / 1

LCM(271,223,189) = 11421837 / 1

LCM(271,223,189) = 11421837


Lets's calculate GCF of 93,31,124

31 93, 31, 124
3, 1, 4

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11421837/31

Therefore the LCM of Fractions 271/93,223/31,189/124 is 11421837/31

Greatest Common Factor of 93,31,124 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,31,124 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Greatest Common Factor

We found the factors 93,31,124 . The biggest common factor number is the GCF number.
So the greatest common factor 93,31,124 is 31.


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 271/93, 223/31, 189/124

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 271/93, 223/31, 189/124?

Answer: LCM of Numerators as per given numbers 271/93, 223/31, 189/124 is

LCM of Numerators i.e. for 271,223,189 is 11421837

GCF of denominators i.e. for 93,31,124 is 31.

Thus, LCM of Fractions is 11421837/31.Finally, LCM of Fractions for 271/93, 223/31, 189/124 is 11421837/31.