Least Common Multiple of 76/612, 683/330, 563/799

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/612, 683/330, 563/799 quickly i.e. 29224204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/612, 683/330, 563/799 is 29224204.

LCM(76/612, 683/330, 563/799) = 29224204

LCM of 76/612, 683/330, 563/799

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 76/612,683/330,563/799

Given numbers are 76/612,683/330,563/799

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 76,683,563

Least Common Multiple of Numerators i.e. LCM of 76,683,563 is 29224204.

GCF of Denominators means GCF of 612,330,799 as per the given fractions.

GCF of 612,330,799 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,683,563

LCM of Fractions 76/612,683/330,563/799 is 29224204

Given numbers has no common factors except 1. So, there LCM is their product i.e 29224204

Least Common Multiple of 76,683,563 with GCF Formula

Least Common Multiple of 76,683,563 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 76,683,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,683,563) = 1

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

GCF(76,683,563) x common factors =1 x 1 = 1

LCM(76,683,563) = ( 76 × 683 × 563 ) / 1

LCM(76,683,563) = 29224204 / 1

LCM(76,683,563) = 29224204


Lets's calculate GCF of 612,330,799

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29224204/1

Therefore the LCM of Fractions 76/612,683/330,563/799 is 29224204

Greatest Common Factor of 612,330,799 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,330,799 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1,17,47,799

Greatest Common Factor

We found the factors 612,330,799 . The biggest common factor number is the GCF number.
So the greatest common factor 612,330,799 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 76/612, 683/330, 563/799

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 76/612, 683/330, 563/799?

Answer: LCM of Numerators as per given numbers 76/612, 683/330, 563/799 is

LCM of Numerators i.e. for 76,683,563 is 29224204

GCF of denominators i.e. for 612,330,799 is 1.

Thus, LCM of Fractions is 29224204.Finally, LCM of Fractions for 76/612, 683/330, 563/799 is 29224204.