Least Common Multiple of 8491/299, 9606/5642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8491/299, 9606/5642 quickly i.e. 81564546/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8491/299, 9606/5642 is 81564546/13.

LCM(8491/299, 9606/5642) = 81564546/13

LCM of 8491/299, 9606/5642

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 8491/299,9606/5642

Given numbers are 8491/299,9606/5642

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 8491,9606

Least Common Multiple of Numerators i.e. LCM of 8491,9606 is 81564546.

GCF of Denominators means GCF of 299,5642 as per the given fractions.

GCF of 299,5642 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8491,9606

LCM of Fractions 8491/299,9606/5642 is 81564546/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 81564546

Least Common Multiple of 8491,9606 with GCF Formula

Least Common Multiple of 8491,9606 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 8491,9606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8491,9606) = 1

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

GCF(8491,9606) x common factors =1 x 1 = 1

LCM(8491,9606) = ( 8491 × 9606 ) / 1

LCM(8491,9606) = 81564546 / 1

LCM(8491,9606) = 81564546


Lets's calculate GCF of 299,5642

13 299, 5642
23, 434

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81564546/13

Therefore the LCM of Fractions 8491/299,9606/5642 is 81564546/13

Greatest Common Factor of 299,5642 By Matching Biggest Common Factor Method

Greatest Common Factor of 299,5642 By Matching Biggest Common Factor Method

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 5642

List of positive integer factors of 5642 that divides 5642 without a remainder.

1,2,7,13,14,26,31,62,91,182,217,403,434,806,2821,5642

Greatest Common Factor

We found the factors 299,5642 . The biggest common factor number is the GCF number.
So the greatest common factor 299,5642 is 13.


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 8491/299, 9606/5642

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 8491/299, 9606/5642?

Answer: LCM of Numerators as per given numbers 8491/299, 9606/5642 is

LCM of Numerators i.e. for 8491,9606 is 81564546

GCF of denominators i.e. for 299,5642 is 13.

Thus, LCM of Fractions is 81564546/13.Finally, LCM of Fractions for 8491/299, 9606/5642 is 81564546/13.