Least Common Multiple of 6022/198, 8530/9477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6022/198, 8530/9477 quickly i.e. 25683830/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6022/198, 8530/9477 is 25683830/9.

LCM(6022/198, 8530/9477) = 25683830/9

LCM of 6022/198, 8530/9477

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 6022/198,8530/9477

Given numbers are 6022/198,8530/9477

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 6022,8530

Least Common Multiple of Numerators i.e. LCM of 6022,8530 is 25683830.

GCF of Denominators means GCF of 198,9477 as per the given fractions.

GCF of 198,9477 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6022,8530

LCM of Fractions 6022/198,8530/9477 is 25683830/9

2 6022, 8530
3011, 4265

∴ So the LCM of the given numbers is 2 x 3011 x 4265 = 25683830

Least Common Multiple of 6022,8530 with GCF Formula

Least Common Multiple of 6022,8530 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 6022,8530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6022,8530) = 2

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

GCF(6022,8530) x common factors =2 x 1 = 2

LCM(6022,8530) = ( 6022 × 8530 ) / 2

LCM(6022,8530) = 51367660 / 2

LCM(6022,8530) = 25683830


Lets's calculate GCF of 198,9477

3 198, 9477
3 66, 3159
22, 1053

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25683830/9

Therefore the LCM of Fractions 6022/198,8530/9477 is 25683830/9

Greatest Common Factor of 198,9477 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,9477 By Matching Biggest Common Factor Method

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 9477

List of positive integer factors of 9477 that divides 9477 without a remainder.

1,3,9,13,27,39,81,117,243,351,729,1053,3159,9477

Greatest Common Factor

We found the factors 198,9477 . The biggest common factor number is the GCF number.
So the greatest common factor 198,9477 is 9.


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 6022/198, 8530/9477

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 6022/198, 8530/9477?

Answer: LCM of Numerators as per given numbers 6022/198, 8530/9477 is

LCM of Numerators i.e. for 6022,8530 is 25683830

GCF of denominators i.e. for 198,9477 is 9.

Thus, LCM of Fractions is 25683830/9.Finally, LCM of Fractions for 6022/198, 8530/9477 is 25683830/9.