Least Common Multiple of 99/272, 66/440, 366/909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/272, 66/440, 366/909 quickly i.e. 12078 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/272, 66/440, 366/909 is 12078.

LCM(99/272, 66/440, 366/909) = 12078

LCM of 99/272, 66/440, 366/909

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 99/272,66/440,366/909

Given numbers are 99/272,66/440,366/909

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 99,66,366

Least Common Multiple of Numerators i.e. LCM of 99,66,366 is 12078.

GCF of Denominators means GCF of 272,440,909 as per the given fractions.

GCF of 272,440,909 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,66,366

LCM of Fractions 99/272,66/440,366/909 is 12078

2 99, 66, 366
3 99, 33, 183
11 11, 33, 61
1, 3, 61

∴ So the LCM of the given numbers is 2 x 3 x 11 x 1 x 3 x 61 = 12078

Least Common Multiple of 99,66,366 with GCF Formula

Least Common Multiple of 99,66,366 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 99,66,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,66,366) = 3

common factors(in case of two or more numbers have common factors) = 66

GCF(99,66,366) x common factors =3 x 66 = 198

LCM(99,66,366) = ( 99 × 66 × 366 ) / 198

LCM(99,66,366) = 2391444 / 198

LCM(99,66,366) = 12078


Lets's calculate GCF of 272,440,909

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12078/1

Therefore the LCM of Fractions 99/272,66/440,366/909 is 12078

Greatest Common Factor of 272,440,909 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,440,909 By Matching Biggest Common Factor Method

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 909

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

1,3,9,101,303,909

Greatest Common Factor

We found the factors 272,440,909 . The biggest common factor number is the GCF number.
So the greatest common factor 272,440,909 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 99/272, 66/440, 366/909

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 99/272, 66/440, 366/909?

Answer: LCM of Numerators as per given numbers 99/272, 66/440, 366/909 is

LCM of Numerators i.e. for 99,66,366 is 12078

GCF of denominators i.e. for 272,440,909 is 1.

Thus, LCM of Fractions is 12078.Finally, LCM of Fractions for 99/272, 66/440, 366/909 is 12078.