Least Common Multiple of 6966/589, 5783/8465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6966/589, 5783/8465 quickly i.e. 40284378 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6966/589, 5783/8465 is 40284378.

LCM(6966/589, 5783/8465) = 40284378

LCM of 6966/589, 5783/8465

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 6966/589,5783/8465

Given numbers are 6966/589,5783/8465

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 6966,5783

Least Common Multiple of Numerators i.e. LCM of 6966,5783 is 40284378.

GCF of Denominators means GCF of 589,8465 as per the given fractions.

GCF of 589,8465 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6966,5783

LCM of Fractions 6966/589,5783/8465 is 40284378

Given numbers has no common factors except 1. So, there LCM is their product i.e 40284378

Least Common Multiple of 6966,5783 with GCF Formula

Least Common Multiple of 6966,5783 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 6966,5783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6966,5783) = 1

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

GCF(6966,5783) x common factors =1 x 1 = 1

LCM(6966,5783) = ( 6966 × 5783 ) / 1

LCM(6966,5783) = 40284378 / 1

LCM(6966,5783) = 40284378


Lets's calculate GCF of 589,8465

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40284378/1

Therefore the LCM of Fractions 6966/589,5783/8465 is 40284378

Greatest Common Factor of 589,8465 By Matching Biggest Common Factor Method

Greatest Common Factor of 589,8465 By Matching Biggest Common Factor Method

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Factors of 8465

List of positive integer factors of 8465 that divides 8465 without a remainder.

1,5,1693,8465

Greatest Common Factor

We found the factors 589,8465 . The biggest common factor number is the GCF number.
So the greatest common factor 589,8465 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 6966/589, 5783/8465

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 6966/589, 5783/8465?

Answer: LCM of Numerators as per given numbers 6966/589, 5783/8465 is

LCM of Numerators i.e. for 6966,5783 is 40284378

GCF of denominators i.e. for 589,8465 is 1.

Thus, LCM of Fractions is 40284378.Finally, LCM of Fractions for 6966/589, 5783/8465 is 40284378.