Least Common Multiple of 813/39, 596/88, 306/569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 813/39, 596/88, 306/569 quickly i.e. 24711948 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 813/39, 596/88, 306/569 is 24711948.

LCM(813/39, 596/88, 306/569) = 24711948

LCM of 813/39, 596/88, 306/569

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 813/39,596/88,306/569

Given numbers are 813/39,596/88,306/569

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 813,596,306

Least Common Multiple of Numerators i.e. LCM of 813,596,306 is 24711948.

GCF of Denominators means GCF of 39,88,569 as per the given fractions.

GCF of 39,88,569 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 813,596,306

LCM of Fractions 813/39,596/88,306/569 is 24711948

2 813, 596, 306
3 813, 298, 153
271, 298, 51

∴ So the LCM of the given numbers is 2 x 3 x 271 x 298 x 51 = 24711948

Least Common Multiple of 813,596,306 with GCF Formula

Least Common Multiple of 813,596,306 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 813,596,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,596,306) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(813,596,306) x common factors =1 x 6 = 6

LCM(813,596,306) = ( 813 × 596 × 306 ) / 6

LCM(813,596,306) = 148271688 / 6

LCM(813,596,306) = 24711948


Lets's calculate GCF of 39,88,569

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24711948/1

Therefore the LCM of Fractions 813/39,596/88,306/569 is 24711948

Greatest Common Factor of 39,88,569 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,88,569 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Greatest Common Factor

We found the factors 39,88,569 . The biggest common factor number is the GCF number.
So the greatest common factor 39,88,569 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 813/39, 596/88, 306/569

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 813/39, 596/88, 306/569?

Answer: LCM of Numerators as per given numbers 813/39, 596/88, 306/569 is

LCM of Numerators i.e. for 813,596,306 is 24711948

GCF of denominators i.e. for 39,88,569 is 1.

Thus, LCM of Fractions is 24711948.Finally, LCM of Fractions for 813/39, 596/88, 306/569 is 24711948.