Least Common Multiple of 76/720, 961/939, 588/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/720, 961/939, 588/999 quickly i.e. 3578764 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/720, 961/939, 588/999 is 3578764.

LCM(76/720, 961/939, 588/999) = 3578764

LCM of 76/720, 961/939, 588/999

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 76/720,961/939,588/999

Given numbers are 76/720,961/939,588/999

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 76,961,588

Least Common Multiple of Numerators i.e. LCM of 76,961,588 is 10736292.

GCF of Denominators means GCF of 720,939,999 as per the given fractions.

GCF of 720,939,999 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,961,588

LCM of Fractions 76/720,961/939,588/999 is 3578764

2 76, 961, 588
2 38, 961, 294
19, 961, 147

∴ So the LCM of the given numbers is 2 x 2 x 19 x 961 x 147 = 10736292

Least Common Multiple of 76,961,588 with GCF Formula

Least Common Multiple of 76,961,588 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 76,961,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,961,588) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(76,961,588) x common factors =1 x 4 = 4

LCM(76,961,588) = ( 76 × 961 × 588 ) / 4

LCM(76,961,588) = 42945168 / 4

LCM(76,961,588) = 10736292


Lets's calculate GCF of 720,939,999

3 720, 939, 999
240, 313, 333

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10736292/3

Therefore the LCM of Fractions 76/720,961/939,588/999 is 3578764

Greatest Common Factor of 720,939,999 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,939,999 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 939

List of positive integer factors of 939 that divides 939 without a remainder.

1,3,313,939

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 720,939,999 . The biggest common factor number is the GCF number.
So the greatest common factor 720,939,999 is 3.


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 76/720, 961/939, 588/999

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 76/720, 961/939, 588/999?

Answer: LCM of Numerators as per given numbers 76/720, 961/939, 588/999 is

LCM of Numerators i.e. for 76,961,588 is 10736292

GCF of denominators i.e. for 720,939,999 is 3.

Thus, LCM of Fractions is 3578764.Finally, LCM of Fractions for 76/720, 961/939, 588/999 is 3578764.