Least Common Multiple of 6694/590, 6534/855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6694/590, 6534/855 quickly i.e. 21869298/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6694/590, 6534/855 is 21869298/5.

LCM(6694/590, 6534/855) = 21869298/5

LCM of 6694/590, 6534/855

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 6694/590,6534/855

Given numbers are 6694/590,6534/855

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 6694,6534

Least Common Multiple of Numerators i.e. LCM of 6694,6534 is 21869298.

GCF of Denominators means GCF of 590,855 as per the given fractions.

GCF of 590,855 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6694,6534

LCM of Fractions 6694/590,6534/855 is 21869298/5

2 6694, 6534
3347, 3267

∴ So the LCM of the given numbers is 2 x 3347 x 3267 = 21869298

Least Common Multiple of 6694,6534 with GCF Formula

Least Common Multiple of 6694,6534 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 6694,6534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6694,6534) = 2

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

GCF(6694,6534) x common factors =2 x 1 = 2

LCM(6694,6534) = ( 6694 × 6534 ) / 2

LCM(6694,6534) = 43738596 / 2

LCM(6694,6534) = 21869298


Lets's calculate GCF of 590,855

5 590, 855
118, 171

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21869298/5

Therefore the LCM of Fractions 6694/590,6534/855 is 21869298/5

Greatest Common Factor of 590,855 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,855 By Matching Biggest Common Factor Method

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Greatest Common Factor

We found the factors 590,855 . The biggest common factor number is the GCF number.
So the greatest common factor 590,855 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 6694/590, 6534/855

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 6694/590, 6534/855?

Answer: LCM of Numerators as per given numbers 6694/590, 6534/855 is

LCM of Numerators i.e. for 6694,6534 is 21869298

GCF of denominators i.e. for 590,855 is 5.

Thus, LCM of Fractions is 21869298/5.Finally, LCM of Fractions for 6694/590, 6534/855 is 21869298/5.