Least Common Multiple of 494/19, 253/98, 809/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 494/19, 253/98, 809/320 quickly i.e. 101110438 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 494/19, 253/98, 809/320 is 101110438.

LCM(494/19, 253/98, 809/320) = 101110438

LCM of 494/19, 253/98, 809/320

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 494/19,253/98,809/320

Given numbers are 494/19,253/98,809/320

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 494,253,809

Least Common Multiple of Numerators i.e. LCM of 494,253,809 is 101110438.

GCF of Denominators means GCF of 19,98,320 as per the given fractions.

GCF of 19,98,320 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 494,253,809

LCM of Fractions 494/19,253/98,809/320 is 101110438

Given numbers has no common factors except 1. So, there LCM is their product i.e 101110438

Least Common Multiple of 494,253,809 with GCF Formula

Least Common Multiple of 494,253,809 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 494,253,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,253,809) = 1

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

GCF(494,253,809) x common factors =1 x 1 = 1

LCM(494,253,809) = ( 494 × 253 × 809 ) / 1

LCM(494,253,809) = 101110438 / 1

LCM(494,253,809) = 101110438


Lets's calculate GCF of 19,98,320

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101110438/1

Therefore the LCM of Fractions 494/19,253/98,809/320 is 101110438

Greatest Common Factor of 19,98,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,98,320 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 19,98,320 . The biggest common factor number is the GCF number.
So the greatest common factor 19,98,320 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 494/19, 253/98, 809/320

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 494/19, 253/98, 809/320?

Answer: LCM of Numerators as per given numbers 494/19, 253/98, 809/320 is

LCM of Numerators i.e. for 494,253,809 is 101110438

GCF of denominators i.e. for 19,98,320 is 1.

Thus, LCM of Fractions is 101110438.Finally, LCM of Fractions for 494/19, 253/98, 809/320 is 101110438.