Least Common Multiple of 1191/198, 3876/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1191/198, 3876/580 quickly i.e. 769386 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1191/198, 3876/580 is 769386.

LCM(1191/198, 3876/580) = 769386

LCM of 1191/198, 3876/580

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 1191/198,3876/580

Given numbers are 1191/198,3876/580

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 1191,3876

Least Common Multiple of Numerators i.e. LCM of 1191,3876 is 1538772.

GCF of Denominators means GCF of 198,580 as per the given fractions.

GCF of 198,580 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1191,3876

LCM of Fractions 1191/198,3876/580 is 769386

3 1191, 3876
397, 1292

∴ So the LCM of the given numbers is 3 x 397 x 1292 = 1538772

Least Common Multiple of 1191,3876 with GCF Formula

Least Common Multiple of 1191,3876 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 1191,3876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1191,3876) = 3

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

GCF(1191,3876) x common factors =3 x 1 = 3

LCM(1191,3876) = ( 1191 × 3876 ) / 3

LCM(1191,3876) = 4616316 / 3

LCM(1191,3876) = 1538772


Lets's calculate GCF of 198,580

2 198, 580
99, 290

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1538772/2

Therefore the LCM of Fractions 1191/198,3876/580 is 769386

Greatest Common Factor of 198,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,580 By Matching Biggest Common Factor Method

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 198,580 . The biggest common factor number is the GCF number.
So the greatest common factor 198,580 is 2.


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 1191/198, 3876/580

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 1191/198, 3876/580?

Answer: LCM of Numerators as per given numbers 1191/198, 3876/580 is

LCM of Numerators i.e. for 1191,3876 is 1538772

GCF of denominators i.e. for 198,580 is 2.

Thus, LCM of Fractions is 769386.Finally, LCM of Fractions for 1191/198, 3876/580 is 769386.