Least Common Multiple of 7219/489, 8193/9352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7219/489, 8193/9352 quickly i.e. 59145267 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7219/489, 8193/9352 is 59145267.

LCM(7219/489, 8193/9352) = 59145267

LCM of 7219/489, 8193/9352

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 7219/489,8193/9352

Given numbers are 7219/489,8193/9352

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 7219,8193

Least Common Multiple of Numerators i.e. LCM of 7219,8193 is 59145267.

GCF of Denominators means GCF of 489,9352 as per the given fractions.

GCF of 489,9352 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7219,8193

LCM of Fractions 7219/489,8193/9352 is 59145267

Given numbers has no common factors except 1. So, there LCM is their product i.e 59145267

Least Common Multiple of 7219,8193 with GCF Formula

Least Common Multiple of 7219,8193 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 7219,8193 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7219,8193) = 1

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

GCF(7219,8193) x common factors =1 x 1 = 1

LCM(7219,8193) = ( 7219 × 8193 ) / 1

LCM(7219,8193) = 59145267 / 1

LCM(7219,8193) = 59145267


Lets's calculate GCF of 489,9352

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59145267/1

Therefore the LCM of Fractions 7219/489,8193/9352 is 59145267

Greatest Common Factor of 489,9352 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,9352 By Matching Biggest Common Factor Method

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 9352

List of positive integer factors of 9352 that divides 9352 without a remainder.

1,2,4,7,8,14,28,56,167,334,668,1169,1336,2338,4676,9352

Greatest Common Factor

We found the factors 489,9352 . The biggest common factor number is the GCF number.
So the greatest common factor 489,9352 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 7219/489, 8193/9352

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 7219/489, 8193/9352?

Answer: LCM of Numerators as per given numbers 7219/489, 8193/9352 is

LCM of Numerators i.e. for 7219,8193 is 59145267

GCF of denominators i.e. for 489,9352 is 1.

Thus, LCM of Fractions is 59145267.Finally, LCM of Fractions for 7219/489, 8193/9352 is 59145267.