Least Common Multiple of 189/91, 138/2361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 189/91, 138/2361 quickly i.e. 8694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 189/91, 138/2361 is 8694.

LCM(189/91, 138/2361) = 8694

LCM of 189/91, 138/2361

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 189/91,138/2361

Given numbers are 189/91,138/2361

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 189,138

Least Common Multiple of Numerators i.e. LCM of 189,138 is 8694.

GCF of Denominators means GCF of 91,2361 as per the given fractions.

GCF of 91,2361 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 189,138

LCM of Fractions 189/91,138/2361 is 8694

3 189, 138
63, 46

∴ So the LCM of the given numbers is 3 x 63 x 46 = 8694

Least Common Multiple of 189,138 with GCF Formula

Least Common Multiple of 189,138 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 189,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,138) = 3

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

GCF(189,138) x common factors =3 x 1 = 3

LCM(189,138) = ( 189 × 138 ) / 3

LCM(189,138) = 26082 / 3

LCM(189,138) = 8694


Lets's calculate GCF of 91,2361

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8694/1

Therefore the LCM of Fractions 189/91,138/2361 is 8694

Greatest Common Factor of 91,2361 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,2361 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 2361

List of positive integer factors of 2361 that divides 2361 without a remainder.

1,3,787,2361

Greatest Common Factor

We found the factors 91,2361 . The biggest common factor number is the GCF number.
So the greatest common factor 91,2361 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 189/91, 138/2361

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 189/91, 138/2361?

Answer: LCM of Numerators as per given numbers 189/91, 138/2361 is

LCM of Numerators i.e. for 189,138 is 8694

GCF of denominators i.e. for 91,2361 is 1.

Thus, LCM of Fractions is 8694.Finally, LCM of Fractions for 189/91, 138/2361 is 8694.