Least Common Multiple of 9366/791, 8061/8498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9366/791, 8061/8498 quickly i.e. 3595206 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9366/791, 8061/8498 is 3595206.

LCM(9366/791, 8061/8498) = 3595206

LCM of 9366/791, 8061/8498

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 9366/791,8061/8498

Given numbers are 9366/791,8061/8498

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 9366,8061

Least Common Multiple of Numerators i.e. LCM of 9366,8061 is 25166442.

GCF of Denominators means GCF of 791,8498 as per the given fractions.

GCF of 791,8498 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9366,8061

LCM of Fractions 9366/791,8061/8498 is 3595206

3 9366, 8061
3122, 2687

∴ So the LCM of the given numbers is 3 x 3122 x 2687 = 25166442

Least Common Multiple of 9366,8061 with GCF Formula

Least Common Multiple of 9366,8061 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 9366,8061 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9366,8061) = 3

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

GCF(9366,8061) x common factors =3 x 1 = 3

LCM(9366,8061) = ( 9366 × 8061 ) / 3

LCM(9366,8061) = 75499326 / 3

LCM(9366,8061) = 25166442


Lets's calculate GCF of 791,8498

7 791, 8498
113, 1214

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25166442/7

Therefore the LCM of Fractions 9366/791,8061/8498 is 3595206

Greatest Common Factor of 791,8498 By Matching Biggest Common Factor Method

Greatest Common Factor of 791,8498 By Matching Biggest Common Factor Method

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Factors of 8498

List of positive integer factors of 8498 that divides 8498 without a remainder.

1,2,7,14,607,1214,4249,8498

Greatest Common Factor

We found the factors 791,8498 . The biggest common factor number is the GCF number.
So the greatest common factor 791,8498 is 7.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9366/791, 8061/8498

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 9366/791, 8061/8498?

Answer: LCM of Numerators as per given numbers 9366/791, 8061/8498 is

LCM of Numerators i.e. for 9366,8061 is 25166442

GCF of denominators i.e. for 791,8498 is 7.

Thus, LCM of Fractions is 3595206.Finally, LCM of Fractions for 9366/791, 8061/8498 is 3595206.