Least Common Multiple of 186/130, 891/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 186/130, 891/489 quickly i.e. 55242 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 186/130, 891/489 is 55242.

LCM(186/130, 891/489) = 55242

LCM of 186/130, 891/489

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 186/130,891/489

Given numbers are 186/130,891/489

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 186,891

Least Common Multiple of Numerators i.e. LCM of 186,891 is 55242.

GCF of Denominators means GCF of 130,489 as per the given fractions.

GCF of 130,489 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 186,891

LCM of Fractions 186/130,891/489 is 55242

3 186, 891
62, 297

∴ So the LCM of the given numbers is 3 x 62 x 297 = 55242

Least Common Multiple of 186,891 with GCF Formula

Least Common Multiple of 186,891 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 186,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(186,891) = 3

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

GCF(186,891) x common factors =3 x 1 = 3

LCM(186,891) = ( 186 × 891 ) / 3

LCM(186,891) = 165726 / 3

LCM(186,891) = 55242


Lets's calculate GCF of 130,489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55242/1

Therefore the LCM of Fractions 186/130,891/489 is 55242

Greatest Common Factor of 130,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,489 By Matching Biggest Common Factor Method

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 130,489 . The biggest common factor number is the GCF number.
So the greatest common factor 130,489 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 186/130, 891/489

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 186/130, 891/489?

Answer: LCM of Numerators as per given numbers 186/130, 891/489 is

LCM of Numerators i.e. for 186,891 is 55242

GCF of denominators i.e. for 130,489 is 1.

Thus, LCM of Fractions is 55242.Finally, LCM of Fractions for 186/130, 891/489 is 55242.