Least Common Multiple of 489/61, 817/18, 909/60

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 489/61, 817/18, 909/60 quickly i.e. 121052439 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 489/61, 817/18, 909/60 is 121052439.

LCM(489/61, 817/18, 909/60) = 121052439

LCM of 489/61, 817/18, 909/60

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 489/61,817/18,909/60

Given numbers are 489/61,817/18,909/60

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 489,817,909

Least Common Multiple of Numerators i.e. LCM of 489,817,909 is 121052439.

GCF of Denominators means GCF of 61,18,60 as per the given fractions.

GCF of 61,18,60 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 489,817,909

LCM of Fractions 489/61,817/18,909/60 is 121052439

3 489, 817, 909
163, 817, 303

∴ So the LCM of the given numbers is 3 x 163 x 817 x 303 = 121052439

Least Common Multiple of 489,817,909 with GCF Formula

Least Common Multiple of 489,817,909 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 489,817,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,817,909) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(489,817,909) x common factors =1 x 3 = 3

LCM(489,817,909) = ( 489 × 817 × 909 ) / 3

LCM(489,817,909) = 363157317 / 3

LCM(489,817,909) = 121052439


Lets's calculate GCF of 61,18,60

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121052439/1

Therefore the LCM of Fractions 489/61,817/18,909/60 is 121052439

Greatest Common Factor of 61,18,60 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,18,60 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Greatest Common Factor

We found the factors 61,18,60 . The biggest common factor number is the GCF number.
So the greatest common factor 61,18,60 is 1.


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 489/61, 817/18, 909/60

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 489/61, 817/18, 909/60?

Answer: LCM of Numerators as per given numbers 489/61, 817/18, 909/60 is

LCM of Numerators i.e. for 489,817,909 is 121052439

GCF of denominators i.e. for 61,18,60 is 1.

Thus, LCM of Fractions is 121052439.Finally, LCM of Fractions for 489/61, 817/18, 909/60 is 121052439.