Least Common Multiple of 11/40, 64/82, 291/188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/40, 64/82, 291/188 quickly i.e. 102432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/40, 64/82, 291/188 is 102432.

LCM(11/40, 64/82, 291/188) = 102432

LCM of 11/40, 64/82, 291/188

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 11/40,64/82,291/188

Given numbers are 11/40,64/82,291/188

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 11,64,291

Least Common Multiple of Numerators i.e. LCM of 11,64,291 is 204864.

GCF of Denominators means GCF of 40,82,188 as per the given fractions.

GCF of 40,82,188 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,64,291

LCM of Fractions 11/40,64/82,291/188 is 102432

Given numbers has no common factors except 1. So, there LCM is their product i.e 204864

Least Common Multiple of 11,64,291 with GCF Formula

Least Common Multiple of 11,64,291 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 11,64,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,64,291) = 1

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

GCF(11,64,291) x common factors =1 x 1 = 1

LCM(11,64,291) = ( 11 × 64 × 291 ) / 1

LCM(11,64,291) = 204864 / 1

LCM(11,64,291) = 204864


Lets's calculate GCF of 40,82,188

2 40, 82, 188
20, 41, 94

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 204864/2

Therefore the LCM of Fractions 11/40,64/82,291/188 is 102432

Greatest Common Factor of 40,82,188 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,82,188 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Greatest Common Factor

We found the factors 40,82,188 . The biggest common factor number is the GCF number.
So the greatest common factor 40,82,188 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 11/40, 64/82, 291/188

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 11/40, 64/82, 291/188?

Answer: LCM of Numerators as per given numbers 11/40, 64/82, 291/188 is

LCM of Numerators i.e. for 11,64,291 is 204864

GCF of denominators i.e. for 40,82,188 is 2.

Thus, LCM of Fractions is 102432.Finally, LCM of Fractions for 11/40, 64/82, 291/188 is 102432.