Least Common Multiple of 6867/595, 8925/5410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6867/595, 8925/5410 quickly i.e. 583695 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6867/595, 8925/5410 is 583695.

LCM(6867/595, 8925/5410) = 583695

LCM of 6867/595, 8925/5410

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 6867/595,8925/5410

Given numbers are 6867/595,8925/5410

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 6867,8925

Least Common Multiple of Numerators i.e. LCM of 6867,8925 is 2918475.

GCF of Denominators means GCF of 595,5410 as per the given fractions.

GCF of 595,5410 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6867,8925

LCM of Fractions 6867/595,8925/5410 is 583695

3 6867, 8925
7 2289, 2975
327, 425

∴ So the LCM of the given numbers is 3 x 7 x 327 x 425 = 2918475

Least Common Multiple of 6867,8925 with GCF Formula

Least Common Multiple of 6867,8925 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 6867,8925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6867,8925) = 21

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

GCF(6867,8925) x common factors =21 x 1 = 21

LCM(6867,8925) = ( 6867 × 8925 ) / 21

LCM(6867,8925) = 61287975 / 21

LCM(6867,8925) = 2918475


Lets's calculate GCF of 595,5410

5 595, 5410
119, 1082

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2918475/5

Therefore the LCM of Fractions 6867/595,8925/5410 is 583695

Greatest Common Factor of 595,5410 By Matching Biggest Common Factor Method

Greatest Common Factor of 595,5410 By Matching Biggest Common Factor Method

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 5410

List of positive integer factors of 5410 that divides 5410 without a remainder.

1,2,5,10,541,1082,2705,5410

Greatest Common Factor

We found the factors 595,5410 . The biggest common factor number is the GCF number.
So the greatest common factor 595,5410 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 6867/595, 8925/5410

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 6867/595, 8925/5410?

Answer: LCM of Numerators as per given numbers 6867/595, 8925/5410 is

LCM of Numerators i.e. for 6867,8925 is 2918475

GCF of denominators i.e. for 595,5410 is 5.

Thus, LCM of Fractions is 583695.Finally, LCM of Fractions for 6867/595, 8925/5410 is 583695.