Least Common Multiple of 685/729, 972/990, 438/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 685/729, 972/990, 438/580 quickly i.e. 48604860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 685/729, 972/990, 438/580 is 48604860.

LCM(685/729, 972/990, 438/580) = 48604860

LCM of 685/729, 972/990, 438/580

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 685/729,972/990,438/580

Given numbers are 685/729,972/990,438/580

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 685,972,438

Least Common Multiple of Numerators i.e. LCM of 685,972,438 is 48604860.

GCF of Denominators means GCF of 729,990,580 as per the given fractions.

GCF of 729,990,580 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 685,972,438

LCM of Fractions 685/729,972/990,438/580 is 48604860

2 685, 972, 438
3 685, 486, 219
685, 162, 73

∴ So the LCM of the given numbers is 2 x 3 x 685 x 162 x 73 = 48604860

Least Common Multiple of 685,972,438 with GCF Formula

Least Common Multiple of 685,972,438 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 685,972,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,972,438) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(685,972,438) x common factors =1 x 6 = 6

LCM(685,972,438) = ( 685 × 972 × 438 ) / 6

LCM(685,972,438) = 291629160 / 6

LCM(685,972,438) = 48604860


Lets's calculate GCF of 729,990,580

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48604860/1

Therefore the LCM of Fractions 685/729,972/990,438/580 is 48604860

Greatest Common Factor of 729,990,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,990,580 By Matching Biggest Common Factor Method

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

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 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 729,990,580 . The biggest common factor number is the GCF number.
So the greatest common factor 729,990,580 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 685/729, 972/990, 438/580

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 685/729, 972/990, 438/580?

Answer: LCM of Numerators as per given numbers 685/729, 972/990, 438/580 is

LCM of Numerators i.e. for 685,972,438 is 48604860

GCF of denominators i.e. for 729,990,580 is 1.

Thus, LCM of Fractions is 48604860.Finally, LCM of Fractions for 685/729, 972/990, 438/580 is 48604860.