Least Common Multiple of 76/699, 939/200, 721/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/699, 939/200, 721/999 quickly i.e. 51453444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/699, 939/200, 721/999 is 51453444.

LCM(76/699, 939/200, 721/999) = 51453444

LCM of 76/699, 939/200, 721/999

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 76/699,939/200,721/999

Given numbers are 76/699,939/200,721/999

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 76,939,721

Least Common Multiple of Numerators i.e. LCM of 76,939,721 is 51453444.

GCF of Denominators means GCF of 699,200,999 as per the given fractions.

GCF of 699,200,999 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,939,721

LCM of Fractions 76/699,939/200,721/999 is 51453444

Given numbers has no common factors except 1. So, there LCM is their product i.e 51453444

Least Common Multiple of 76,939,721 with GCF Formula

Least Common Multiple of 76,939,721 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 76,939,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,939,721) = 1

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

GCF(76,939,721) x common factors =1 x 1 = 1

LCM(76,939,721) = ( 76 × 939 × 721 ) / 1

LCM(76,939,721) = 51453444 / 1

LCM(76,939,721) = 51453444


Lets's calculate GCF of 699,200,999

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51453444/1

Therefore the LCM of Fractions 76/699,939/200,721/999 is 51453444

Greatest Common Factor of 699,200,999 By Matching Biggest Common Factor Method

Greatest Common Factor of 699,200,999 By Matching Biggest Common Factor Method

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Greatest Common Factor

We found the factors 699,200,999 . The biggest common factor number is the GCF number.
So the greatest common factor 699,200,999 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 76/699, 939/200, 721/999

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 76/699, 939/200, 721/999?

Answer: LCM of Numerators as per given numbers 76/699, 939/200, 721/999 is

LCM of Numerators i.e. for 76,939,721 is 51453444

GCF of denominators i.e. for 699,200,999 is 1.

Thus, LCM of Fractions is 51453444.Finally, LCM of Fractions for 76/699, 939/200, 721/999 is 51453444.