Least Common Multiple of 6186/532, 8230/7293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6186/532, 8230/7293 quickly i.e. 25455390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6186/532, 8230/7293 is 25455390.

LCM(6186/532, 8230/7293) = 25455390

LCM of 6186/532, 8230/7293

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 6186/532,8230/7293

Given numbers are 6186/532,8230/7293

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 6186,8230

Least Common Multiple of Numerators i.e. LCM of 6186,8230 is 25455390.

GCF of Denominators means GCF of 532,7293 as per the given fractions.

GCF of 532,7293 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6186,8230

LCM of Fractions 6186/532,8230/7293 is 25455390

2 6186, 8230
3093, 4115

∴ So the LCM of the given numbers is 2 x 3093 x 4115 = 25455390

Least Common Multiple of 6186,8230 with GCF Formula

Least Common Multiple of 6186,8230 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 6186,8230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6186,8230) = 2

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

GCF(6186,8230) x common factors =2 x 1 = 2

LCM(6186,8230) = ( 6186 × 8230 ) / 2

LCM(6186,8230) = 50910780 / 2

LCM(6186,8230) = 25455390


Lets's calculate GCF of 532,7293

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25455390/1

Therefore the LCM of Fractions 6186/532,8230/7293 is 25455390

Greatest Common Factor of 532,7293 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,7293 By Matching Biggest Common Factor Method

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 7293

List of positive integer factors of 7293 that divides 7293 without a remainder.

1,3,11,13,17,33,39,51,143,187,221,429,561,663,2431,7293

Greatest Common Factor

We found the factors 532,7293 . The biggest common factor number is the GCF number.
So the greatest common factor 532,7293 is 1.


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 6186/532, 8230/7293

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 6186/532, 8230/7293?

Answer: LCM of Numerators as per given numbers 6186/532, 8230/7293 is

LCM of Numerators i.e. for 6186,8230 is 25455390

GCF of denominators i.e. for 532,7293 is 1.

Thus, LCM of Fractions is 25455390.Finally, LCM of Fractions for 6186/532, 8230/7293 is 25455390.