Least Common Multiple of 18/11, 41/22, 78/83, 20/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/11, 41/22, 78/83, 20/413 quickly i.e. 95940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/11, 41/22, 78/83, 20/413 is 95940.

LCM(18/11, 41/22, 78/83, 20/413) = 95940

LCM of 18/11, 41/22, 78/83, 20/413

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 18/11,41/22,78/83,20/413

Given numbers are 18/11,41/22,78/83,20/413

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 18,41,78,20

Least Common Multiple of Numerators i.e. LCM of 18,41,78,20 is 95940.

GCF of Denominators means GCF of 11,22,83,413 as per the given fractions.

GCF of 11,22,83,413 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,41,78,20

LCM of Fractions 18/11,41/22,78/83,20/413 is 95940

2 18, 41, 78, 20
3 9, 41, 39, 10
3, 41, 13, 10

∴ So the LCM of the given numbers is 2 x 3 x 3 x 41 x 13 x 10 = 95940

Least Common Multiple of 18,41,78,20 with GCF Formula

Least Common Multiple of 18,41,78,20 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 18,41,78,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,41,78,20) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(18,41,78,20) x common factors =1 x 12 = 12

LCM(18,41,78,20) = ( 18 × 41 × 78 × 20 ) / 12

LCM(18,41,78,20) = 1151280 / 12

LCM(18,41,78,20) = 95940


Lets's calculate GCF of 11,22,83,413

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95940/1

Therefore the LCM of Fractions 18/11,41/22,78/83,20/413 is 95940

Greatest Common Factor of 11,22,83,413 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,22,83,413 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Greatest Common Factor

We found the factors 11,22,83,413 . The biggest common factor number is the GCF number.
So the greatest common factor 11,22,83,413 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 18/11, 41/22, 78/83, 20/413

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 18/11, 41/22, 78/83, 20/413?

Answer: LCM of Numerators as per given numbers 18/11, 41/22, 78/83, 20/413 is

LCM of Numerators i.e. for 18,41,78,20 is 95940

GCF of denominators i.e. for 11,22,83,413 is 1.

Thus, LCM of Fractions is 95940.Finally, LCM of Fractions for 18/11, 41/22, 78/83, 20/413 is 95940.