Least Common Multiple of 61/484, 13/198, 260/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/484, 13/198, 260/800 quickly i.e. 7930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/484, 13/198, 260/800 is 7930.

LCM(61/484, 13/198, 260/800) = 7930

LCM of 61/484, 13/198, 260/800

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 61/484,13/198,260/800

Given numbers are 61/484,13/198,260/800

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 61,13,260

Least Common Multiple of Numerators i.e. LCM of 61,13,260 is 15860.

GCF of Denominators means GCF of 484,198,800 as per the given fractions.

GCF of 484,198,800 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,13,260

LCM of Fractions 61/484,13/198,260/800 is 7930

13 61, 13, 260
61, 1, 20

∴ So the LCM of the given numbers is 13 x 61 x 1 x 20 = 15860

Least Common Multiple of 61,13,260 with GCF Formula

Least Common Multiple of 61,13,260 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 61,13,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,13,260) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(61,13,260) x common factors =1 x 13 = 13

LCM(61,13,260) = ( 61 × 13 × 260 ) / 13

LCM(61,13,260) = 206180 / 13

LCM(61,13,260) = 15860


Lets's calculate GCF of 484,198,800

2 484, 198, 800
242, 99, 400

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15860/2

Therefore the LCM of Fractions 61/484,13/198,260/800 is 7930

Greatest Common Factor of 484,198,800 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,198,800 By Matching Biggest Common Factor Method

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

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 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Greatest Common Factor

We found the factors 484,198,800 . The biggest common factor number is the GCF number.
So the greatest common factor 484,198,800 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 61/484, 13/198, 260/800

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 61/484, 13/198, 260/800?

Answer: LCM of Numerators as per given numbers 61/484, 13/198, 260/800 is

LCM of Numerators i.e. for 61,13,260 is 15860

GCF of denominators i.e. for 484,198,800 is 2.

Thus, LCM of Fractions is 7930.Finally, LCM of Fractions for 61/484, 13/198, 260/800 is 7930.