Least Common Multiple of 8011/306, 5792/8514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8011/306, 5792/8514 quickly i.e. 46399712/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8011/306, 5792/8514 is 46399712/18.

LCM(8011/306, 5792/8514) = 46399712/18

LCM of 8011/306, 5792/8514

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 8011/306,5792/8514

Given numbers are 8011/306,5792/8514

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 8011,5792

Least Common Multiple of Numerators i.e. LCM of 8011,5792 is 46399712.

GCF of Denominators means GCF of 306,8514 as per the given fractions.

GCF of 306,8514 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8011,5792

LCM of Fractions 8011/306,5792/8514 is 46399712/18

Given numbers has no common factors except 1. So, there LCM is their product i.e 46399712

Least Common Multiple of 8011,5792 with GCF Formula

Least Common Multiple of 8011,5792 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 8011,5792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8011,5792) = 1

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

GCF(8011,5792) x common factors =1 x 1 = 1

LCM(8011,5792) = ( 8011 × 5792 ) / 1

LCM(8011,5792) = 46399712 / 1

LCM(8011,5792) = 46399712


Lets's calculate GCF of 306,8514

2 306, 8514
3 153, 4257
3 51, 1419
17, 473

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46399712/18

Therefore the LCM of Fractions 8011/306,5792/8514 is 46399712/18

Greatest Common Factor of 306,8514 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,8514 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 8514

List of positive integer factors of 8514 that divides 8514 without a remainder.

1,2,3,6,9,11,18,22,33,43,66,86,99,129,198,258,387,473,774,946,1419,2838,4257,8514

Greatest Common Factor

We found the factors 306,8514 . The biggest common factor number is the GCF number.
So the greatest common factor 306,8514 is 18.


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 8011/306, 5792/8514

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 8011/306, 5792/8514?

Answer: LCM of Numerators as per given numbers 8011/306, 5792/8514 is

LCM of Numerators i.e. for 8011,5792 is 46399712

GCF of denominators i.e. for 306,8514 is 18.

Thus, LCM of Fractions is 46399712/18.Finally, LCM of Fractions for 8011/306, 5792/8514 is 46399712/18.