Least Common Multiple of 6000/575, 6863/1365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6000/575, 6863/1365 quickly i.e. 8235600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6000/575, 6863/1365 is 8235600.

LCM(6000/575, 6863/1365) = 8235600

LCM of 6000/575, 6863/1365

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 6000/575,6863/1365

Given numbers are 6000/575,6863/1365

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 6000,6863

Least Common Multiple of Numerators i.e. LCM of 6000,6863 is 41178000.

GCF of Denominators means GCF of 575,1365 as per the given fractions.

GCF of 575,1365 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6000,6863

LCM of Fractions 6000/575,6863/1365 is 8235600

Given numbers has no common factors except 1. So, there LCM is their product i.e 41178000

Least Common Multiple of 6000,6863 with GCF Formula

Least Common Multiple of 6000,6863 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 6000,6863 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6000,6863) = 1

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

GCF(6000,6863) x common factors =1 x 1 = 1

LCM(6000,6863) = ( 6000 × 6863 ) / 1

LCM(6000,6863) = 41178000 / 1

LCM(6000,6863) = 41178000


Lets's calculate GCF of 575,1365

5 575, 1365
115, 273

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41178000/5

Therefore the LCM of Fractions 6000/575,6863/1365 is 8235600

Greatest Common Factor of 575,1365 By Matching Biggest Common Factor Method

Greatest Common Factor of 575,1365 By Matching Biggest Common Factor Method

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Factors of 1365

List of positive integer factors of 1365 that divides 1365 without a remainder.

1,3,5,7,13,15,21,35,39,65,91,105,195,273,455,1365

Greatest Common Factor

We found the factors 575,1365 . The biggest common factor number is the GCF number.
So the greatest common factor 575,1365 is 5.


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 6000/575, 6863/1365

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 6000/575, 6863/1365?

Answer: LCM of Numerators as per given numbers 6000/575, 6863/1365 is

LCM of Numerators i.e. for 6000,6863 is 41178000

GCF of denominators i.e. for 575,1365 is 5.

Thus, LCM of Fractions is 8235600.Finally, LCM of Fractions for 6000/575, 6863/1365 is 8235600.