Least Common Multiple of 8229/984, 6462/5481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8229/984, 6462/5481 quickly i.e. 5908422 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8229/984, 6462/5481 is 5908422.

LCM(8229/984, 6462/5481) = 5908422

LCM of 8229/984, 6462/5481

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 8229/984,6462/5481

Given numbers are 8229/984,6462/5481

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 8229,6462

Least Common Multiple of Numerators i.e. LCM of 8229,6462 is 17725266.

GCF of Denominators means GCF of 984,5481 as per the given fractions.

GCF of 984,5481 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8229,6462

LCM of Fractions 8229/984,6462/5481 is 5908422

3 8229, 6462
2743, 2154

∴ So the LCM of the given numbers is 3 x 2743 x 2154 = 17725266

Least Common Multiple of 8229,6462 with GCF Formula

Least Common Multiple of 8229,6462 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 8229,6462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8229,6462) = 3

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

GCF(8229,6462) x common factors =3 x 1 = 3

LCM(8229,6462) = ( 8229 × 6462 ) / 3

LCM(8229,6462) = 53175798 / 3

LCM(8229,6462) = 17725266


Lets's calculate GCF of 984,5481

3 984, 5481
328, 1827

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17725266/3

Therefore the LCM of Fractions 8229/984,6462/5481 is 5908422

Greatest Common Factor of 984,5481 By Matching Biggest Common Factor Method

Greatest Common Factor of 984,5481 By Matching Biggest Common Factor Method

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 5481

List of positive integer factors of 5481 that divides 5481 without a remainder.

1,3,7,9,21,27,29,63,87,189,203,261,609,783,1827,5481

Greatest Common Factor

We found the factors 984,5481 . The biggest common factor number is the GCF number.
So the greatest common factor 984,5481 is 3.


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 8229/984, 6462/5481

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 8229/984, 6462/5481?

Answer: LCM of Numerators as per given numbers 8229/984, 6462/5481 is

LCM of Numerators i.e. for 8229,6462 is 17725266

GCF of denominators i.e. for 984,5481 is 3.

Thus, LCM of Fractions is 5908422.Finally, LCM of Fractions for 8229/984, 6462/5481 is 5908422.