Least Common Multiple of 8221/506, 9429/5342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8221/506, 9429/5342 quickly i.e. 77515809/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8221/506, 9429/5342 is 77515809/2.

LCM(8221/506, 9429/5342) = 77515809/2

LCM of 8221/506, 9429/5342

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 8221/506,9429/5342

Given numbers are 8221/506,9429/5342

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 8221,9429

Least Common Multiple of Numerators i.e. LCM of 8221,9429 is 77515809.

GCF of Denominators means GCF of 506,5342 as per the given fractions.

GCF of 506,5342 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8221,9429

LCM of Fractions 8221/506,9429/5342 is 77515809/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 77515809

Least Common Multiple of 8221,9429 with GCF Formula

Least Common Multiple of 8221,9429 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 8221,9429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8221,9429) = 1

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

GCF(8221,9429) x common factors =1 x 1 = 1

LCM(8221,9429) = ( 8221 × 9429 ) / 1

LCM(8221,9429) = 77515809 / 1

LCM(8221,9429) = 77515809


Lets's calculate GCF of 506,5342

2 506, 5342
253, 2671

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77515809/2

Therefore the LCM of Fractions 8221/506,9429/5342 is 77515809/2

Greatest Common Factor of 506,5342 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,5342 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 5342

List of positive integer factors of 5342 that divides 5342 without a remainder.

1,2,2671,5342

Greatest Common Factor

We found the factors 506,5342 . The biggest common factor number is the GCF number.
So the greatest common factor 506,5342 is 2.


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 8221/506, 9429/5342

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 8221/506, 9429/5342?

Answer: LCM of Numerators as per given numbers 8221/506, 9429/5342 is

LCM of Numerators i.e. for 8221,9429 is 77515809

GCF of denominators i.e. for 506,5342 is 2.

Thus, LCM of Fractions is 77515809/2.Finally, LCM of Fractions for 8221/506, 9429/5342 is 77515809/2.