Least Common Multiple of 8204/493, 9787/7391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8204/493, 9787/7391 quickly i.e. 80292548 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8204/493, 9787/7391 is 80292548.

LCM(8204/493, 9787/7391) = 80292548

LCM of 8204/493, 9787/7391

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 8204/493,9787/7391

Given numbers are 8204/493,9787/7391

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 8204,9787

Least Common Multiple of Numerators i.e. LCM of 8204,9787 is 80292548.

GCF of Denominators means GCF of 493,7391 as per the given fractions.

GCF of 493,7391 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8204,9787

LCM of Fractions 8204/493,9787/7391 is 80292548

Given numbers has no common factors except 1. So, there LCM is their product i.e 80292548

Least Common Multiple of 8204,9787 with GCF Formula

Least Common Multiple of 8204,9787 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 8204,9787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8204,9787) = 1

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

GCF(8204,9787) x common factors =1 x 1 = 1

LCM(8204,9787) = ( 8204 × 9787 ) / 1

LCM(8204,9787) = 80292548 / 1

LCM(8204,9787) = 80292548


Lets's calculate GCF of 493,7391

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80292548/1

Therefore the LCM of Fractions 8204/493,9787/7391 is 80292548

Greatest Common Factor of 493,7391 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,7391 By Matching Biggest Common Factor Method

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 7391

List of positive integer factors of 7391 that divides 7391 without a remainder.

1,19,389,7391

Greatest Common Factor

We found the factors 493,7391 . The biggest common factor number is the GCF number.
So the greatest common factor 493,7391 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 8204/493, 9787/7391

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 8204/493, 9787/7391?

Answer: LCM of Numerators as per given numbers 8204/493, 9787/7391 is

LCM of Numerators i.e. for 8204,9787 is 80292548

GCF of denominators i.e. for 493,7391 is 1.

Thus, LCM of Fractions is 80292548.Finally, LCM of Fractions for 8204/493, 9787/7391 is 80292548.