Least Common Multiple of 696/750, 638/990, 509/327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 696/750, 638/990, 509/327 quickly i.e. 1298968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 696/750, 638/990, 509/327 is 1298968.

LCM(696/750, 638/990, 509/327) = 1298968

LCM of 696/750, 638/990, 509/327

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 696/750,638/990,509/327

Given numbers are 696/750,638/990,509/327

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 696,638,509

Least Common Multiple of Numerators i.e. LCM of 696,638,509 is 3896904.

GCF of Denominators means GCF of 750,990,327 as per the given fractions.

GCF of 750,990,327 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 696,638,509

LCM of Fractions 696/750,638/990,509/327 is 1298968

2 696, 638, 509
29 348, 319, 509
12, 11, 509

∴ So the LCM of the given numbers is 2 x 29 x 12 x 11 x 509 = 3896904

Least Common Multiple of 696,638,509 with GCF Formula

Least Common Multiple of 696,638,509 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 696,638,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,638,509) = 1

common factors(in case of two or more numbers have common factors) = 58

GCF(696,638,509) x common factors =1 x 58 = 58

LCM(696,638,509) = ( 696 × 638 × 509 ) / 58

LCM(696,638,509) = 226020432 / 58

LCM(696,638,509) = 3896904


Lets's calculate GCF of 750,990,327

3 750, 990, 327
250, 330, 109

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3896904/3

Therefore the LCM of Fractions 696/750,638/990,509/327 is 1298968

Greatest Common Factor of 750,990,327 By Matching Biggest Common Factor Method

Greatest Common Factor of 750,990,327 By Matching Biggest Common Factor Method

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Greatest Common Factor

We found the factors 750,990,327 . The biggest common factor number is the GCF number.
So the greatest common factor 750,990,327 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 696/750, 638/990, 509/327

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 696/750, 638/990, 509/327?

Answer: LCM of Numerators as per given numbers 696/750, 638/990, 509/327 is

LCM of Numerators i.e. for 696,638,509 is 3896904

GCF of denominators i.e. for 750,990,327 is 3.

Thus, LCM of Fractions is 1298968.Finally, LCM of Fractions for 696/750, 638/990, 509/327 is 1298968.