Least Common Multiple of 189/39, 2159/558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 189/39, 2159/558 quickly i.e. 136017 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 189/39, 2159/558 is 136017.

LCM(189/39, 2159/558) = 136017

LCM of 189/39, 2159/558

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 189/39,2159/558

Given numbers are 189/39,2159/558

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 189,2159

Least Common Multiple of Numerators i.e. LCM of 189,2159 is 408051.

GCF of Denominators means GCF of 39,558 as per the given fractions.

GCF of 39,558 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 189,2159

LCM of Fractions 189/39,2159/558 is 136017

Given numbers has no common factors except 1. So, there LCM is their product i.e 408051

Least Common Multiple of 189,2159 with GCF Formula

Least Common Multiple of 189,2159 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 189,2159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,2159) = 1

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

GCF(189,2159) x common factors =1 x 1 = 1

LCM(189,2159) = ( 189 × 2159 ) / 1

LCM(189,2159) = 408051 / 1

LCM(189,2159) = 408051


Lets's calculate GCF of 39,558

3 39, 558
13, 186

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 408051/3

Therefore the LCM of Fractions 189/39,2159/558 is 136017

Greatest Common Factor of 39,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,558 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 39,558 . The biggest common factor number is the GCF number.
So the greatest common factor 39,558 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 189/39, 2159/558

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 189/39, 2159/558?

Answer: LCM of Numerators as per given numbers 189/39, 2159/558 is

LCM of Numerators i.e. for 189,2159 is 408051

GCF of denominators i.e. for 39,558 is 3.

Thus, LCM of Fractions is 136017.Finally, LCM of Fractions for 189/39, 2159/558 is 136017.