Least Common Multiple of 535/74, 806/40, 108/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 535/74, 806/40, 108/866 quickly i.e. 11642670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 535/74, 806/40, 108/866 is 11642670.

LCM(535/74, 806/40, 108/866) = 11642670

LCM of 535/74, 806/40, 108/866

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 535/74,806/40,108/866

Given numbers are 535/74,806/40,108/866

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 535,806,108

Least Common Multiple of Numerators i.e. LCM of 535,806,108 is 23285340.

GCF of Denominators means GCF of 74,40,866 as per the given fractions.

GCF of 74,40,866 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 535,806,108

LCM of Fractions 535/74,806/40,108/866 is 11642670

2 535, 806, 108
535, 403, 54

∴ So the LCM of the given numbers is 2 x 535 x 403 x 54 = 23285340

Least Common Multiple of 535,806,108 with GCF Formula

Least Common Multiple of 535,806,108 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 535,806,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(535,806,108) = 1

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

GCF(535,806,108) x common factors =1 x 2 = 2

LCM(535,806,108) = ( 535 × 806 × 108 ) / 2

LCM(535,806,108) = 46570680 / 2

LCM(535,806,108) = 23285340


Lets's calculate GCF of 74,40,866

2 74, 40, 866
37, 20, 433

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23285340/2

Therefore the LCM of Fractions 535/74,806/40,108/866 is 11642670

Greatest Common Factor of 74,40,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,40,866 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

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 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 74,40,866 . The biggest common factor number is the GCF number.
So the greatest common factor 74,40,866 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 535/74, 806/40, 108/866

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 535/74, 806/40, 108/866?

Answer: LCM of Numerators as per given numbers 535/74, 806/40, 108/866 is

LCM of Numerators i.e. for 535,806,108 is 23285340

GCF of denominators i.e. for 74,40,866 is 2.

Thus, LCM of Fractions is 11642670.Finally, LCM of Fractions for 535/74, 806/40, 108/866 is 11642670.