Least Common Multiple of 489/20, 418/2778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 489/20, 418/2778 quickly i.e. 102201 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 489/20, 418/2778 is 102201.

LCM(489/20, 418/2778) = 102201

LCM of 489/20, 418/2778

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 489/20,418/2778

Given numbers are 489/20,418/2778

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 489,418

Least Common Multiple of Numerators i.e. LCM of 489,418 is 204402.

GCF of Denominators means GCF of 20,2778 as per the given fractions.

GCF of 20,2778 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 489,418

LCM of Fractions 489/20,418/2778 is 102201

Given numbers has no common factors except 1. So, there LCM is their product i.e 204402

Least Common Multiple of 489,418 with GCF Formula

Least Common Multiple of 489,418 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 489,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,418) = 1

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

GCF(489,418) x common factors =1 x 1 = 1

LCM(489,418) = ( 489 × 418 ) / 1

LCM(489,418) = 204402 / 1

LCM(489,418) = 204402


Lets's calculate GCF of 20,2778

2 20, 2778
10, 1389

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 204402/2

Therefore the LCM of Fractions 489/20,418/2778 is 102201

Greatest Common Factor of 20,2778 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,2778 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 2778

List of positive integer factors of 2778 that divides 2778 without a remainder.

1,2,3,6,463,926,1389,2778

Greatest Common Factor

We found the factors 20,2778 . The biggest common factor number is the GCF number.
So the greatest common factor 20,2778 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 489/20, 418/2778

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 489/20, 418/2778?

Answer: LCM of Numerators as per given numbers 489/20, 418/2778 is

LCM of Numerators i.e. for 489,418 is 204402

GCF of denominators i.e. for 20,2778 is 2.

Thus, LCM of Fractions is 102201.Finally, LCM of Fractions for 489/20, 418/2778 is 102201.