Least Common Multiple of 92/909, 634/792, 329/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/909, 634/792, 329/540 quickly i.e. 9594956/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/909, 634/792, 329/540 is 9594956/9.

LCM(92/909, 634/792, 329/540) = 9594956/9

LCM of 92/909, 634/792, 329/540

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 92/909,634/792,329/540

Given numbers are 92/909,634/792,329/540

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 92,634,329

Least Common Multiple of Numerators i.e. LCM of 92,634,329 is 9594956.

GCF of Denominators means GCF of 909,792,540 as per the given fractions.

GCF of 909,792,540 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,634,329

LCM of Fractions 92/909,634/792,329/540 is 9594956/9

2 92, 634, 329
46, 317, 329

∴ So the LCM of the given numbers is 2 x 46 x 317 x 329 = 9594956

Least Common Multiple of 92,634,329 with GCF Formula

Least Common Multiple of 92,634,329 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 92,634,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,634,329) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(92,634,329) x common factors =1 x 2 = 2

LCM(92,634,329) = ( 92 × 634 × 329 ) / 2

LCM(92,634,329) = 19189912 / 2

LCM(92,634,329) = 9594956


Lets's calculate GCF of 909,792,540

3 909, 792, 540
3 303, 264, 180
101, 88, 60

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9594956/9

Therefore the LCM of Fractions 92/909,634/792,329/540 is 9594956/9

Greatest Common Factor of 909,792,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 909,792,540 By Matching Biggest Common Factor Method

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 909,792,540 . The biggest common factor number is the GCF number.
So the greatest common factor 909,792,540 is 9.


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 92/909, 634/792, 329/540

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 92/909, 634/792, 329/540?

Answer: LCM of Numerators as per given numbers 92/909, 634/792, 329/540 is

LCM of Numerators i.e. for 92,634,329 is 9594956

GCF of denominators i.e. for 909,792,540 is 9.

Thus, LCM of Fractions is 9594956/9.Finally, LCM of Fractions for 92/909, 634/792, 329/540 is 9594956/9.