Least Common Multiple of 6/189, 56/123, 71/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/189, 56/123, 71/531 quickly i.e. 3976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/189, 56/123, 71/531 is 3976.

LCM(6/189, 56/123, 71/531) = 3976

LCM of 6/189, 56/123, 71/531

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 6/189,56/123,71/531

Given numbers are 6/189,56/123,71/531

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 6,56,71

Least Common Multiple of Numerators i.e. LCM of 6,56,71 is 11928.

GCF of Denominators means GCF of 189,123,531 as per the given fractions.

GCF of 189,123,531 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,56,71

LCM of Fractions 6/189,56/123,71/531 is 3976

2 6, 56, 71
3, 28, 71

∴ So the LCM of the given numbers is 2 x 3 x 28 x 71 = 11928

Least Common Multiple of 6,56,71 with GCF Formula

Least Common Multiple of 6,56,71 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 6,56,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,56,71) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(6,56,71) x common factors =1 x 2 = 2

LCM(6,56,71) = ( 6 × 56 × 71 ) / 2

LCM(6,56,71) = 23856 / 2

LCM(6,56,71) = 11928


Lets's calculate GCF of 189,123,531

3 189, 123, 531
63, 41, 177

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11928/3

Therefore the LCM of Fractions 6/189,56/123,71/531 is 3976

Greatest Common Factor of 189,123,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 189,123,531 By Matching Biggest Common Factor Method

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Greatest Common Factor

We found the factors 189,123,531 . The biggest common factor number is the GCF number.
So the greatest common factor 189,123,531 is 3.


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 6/189, 56/123, 71/531

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 6/189, 56/123, 71/531?

Answer: LCM of Numerators as per given numbers 6/189, 56/123, 71/531 is

LCM of Numerators i.e. for 6,56,71 is 11928

GCF of denominators i.e. for 189,123,531 is 3.

Thus, LCM of Fractions is 3976.Finally, LCM of Fractions for 6/189, 56/123, 71/531 is 3976.