Least Common Multiple of 6000/522, 6185/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6000/522, 6185/243 quickly i.e. 7422000/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6000/522, 6185/243 is 7422000/9.

LCM(6000/522, 6185/243) = 7422000/9

LCM of 6000/522, 6185/243

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 6000/522,6185/243

Given numbers are 6000/522,6185/243

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 6000,6185

Least Common Multiple of Numerators i.e. LCM of 6000,6185 is 7422000.

GCF of Denominators means GCF of 522,243 as per the given fractions.

GCF of 522,243 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6000,6185

LCM of Fractions 6000/522,6185/243 is 7422000/9

5 6000, 6185
1200, 1237

∴ So the LCM of the given numbers is 5 x 1200 x 1237 = 7422000

Least Common Multiple of 6000,6185 with GCF Formula

Least Common Multiple of 6000,6185 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 6000,6185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6000,6185) = 5

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

GCF(6000,6185) x common factors =5 x 1 = 5

LCM(6000,6185) = ( 6000 × 6185 ) / 5

LCM(6000,6185) = 37110000 / 5

LCM(6000,6185) = 7422000


Lets's calculate GCF of 522,243

3 522, 243
3 174, 81
58, 27

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7422000/9

Therefore the LCM of Fractions 6000/522,6185/243 is 7422000/9

Greatest Common Factor of 522,243 By Matching Biggest Common Factor Method

Greatest Common Factor of 522,243 By Matching Biggest Common Factor Method

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Greatest Common Factor

We found the factors 522,243 . The biggest common factor number is the GCF number.
So the greatest common factor 522,243 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 6000/522, 6185/243

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 6000/522, 6185/243?

Answer: LCM of Numerators as per given numbers 6000/522, 6185/243 is

LCM of Numerators i.e. for 6000,6185 is 7422000

GCF of denominators i.e. for 522,243 is 9.

Thus, LCM of Fractions is 7422000/9.Finally, LCM of Fractions for 6000/522, 6185/243 is 7422000/9.