Least Common Multiple of 11/268, 389/90, 728/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/268, 389/90, 728/320 quickly i.e. 1557556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/268, 389/90, 728/320 is 1557556.

LCM(11/268, 389/90, 728/320) = 1557556

LCM of 11/268, 389/90, 728/320

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 11/268,389/90,728/320

Given numbers are 11/268,389/90,728/320

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 11,389,728

Least Common Multiple of Numerators i.e. LCM of 11,389,728 is 3115112.

GCF of Denominators means GCF of 268,90,320 as per the given fractions.

GCF of 268,90,320 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,389,728

LCM of Fractions 11/268,389/90,728/320 is 1557556

Given numbers has no common factors except 1. So, there LCM is their product i.e 3115112

Least Common Multiple of 11,389,728 with GCF Formula

Least Common Multiple of 11,389,728 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 11,389,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,389,728) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(11,389,728) x common factors =1 x 1 = 1

LCM(11,389,728) = ( 11 × 389 × 728 ) / 1

LCM(11,389,728) = 3115112 / 1

LCM(11,389,728) = 3115112


Lets's calculate GCF of 268,90,320

2 268, 90, 320
134, 45, 160

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3115112/2

Therefore the LCM of Fractions 11/268,389/90,728/320 is 1557556

Greatest Common Factor of 268,90,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,90,320 By Matching Biggest Common Factor Method

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 268,90,320 . The biggest common factor number is the GCF number.
So the greatest common factor 268,90,320 is 2.


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 11/268, 389/90, 728/320

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 11/268, 389/90, 728/320?

Answer: LCM of Numerators as per given numbers 11/268, 389/90, 728/320 is

LCM of Numerators i.e. for 11,389,728 is 3115112

GCF of denominators i.e. for 268,90,320 is 2.

Thus, LCM of Fractions is 1557556.Finally, LCM of Fractions for 11/268, 389/90, 728/320 is 1557556.