Least Common Multiple of 29/10, 94/40, 33/12, 27/934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 29/10, 94/40, 33/12, 27/934 quickly i.e. 404811 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/10, 94/40, 33/12, 27/934 is 404811.

LCM(29/10, 94/40, 33/12, 27/934) = 404811

LCM of 29/10, 94/40, 33/12, 27/934

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 29/10,94/40,33/12,27/934

Given numbers are 29/10,94/40,33/12,27/934

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 29,94,33,27

Least Common Multiple of Numerators i.e. LCM of 29,94,33,27 is 809622.

GCF of Denominators means GCF of 10,40,12,934 as per the given fractions.

GCF of 10,40,12,934 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,94,33,27

LCM of Fractions 29/10,94/40,33/12,27/934 is 404811

3 29, 94, 33, 27
29, 94, 11, 9

∴ So the LCM of the given numbers is 3 x 29 x 94 x 11 x 9 = 809622

Least Common Multiple of 29,94,33,27 with GCF Formula

Least Common Multiple of 29,94,33,27 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 29,94,33,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,94,33,27) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(29,94,33,27) x common factors =1 x 3 = 3

LCM(29,94,33,27) = ( 29 × 94 × 33 × 27 ) / 3

LCM(29,94,33,27) = 2428866 / 3

LCM(29,94,33,27) = 809622


Lets's calculate GCF of 10,40,12,934

2 10, 40, 12, 934
5, 20, 6, 467

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 809622/2

Therefore the LCM of Fractions 29/10,94/40,33/12,27/934 is 404811

Greatest Common Factor of 10,40,12,934 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,40,12,934 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

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 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1,2,467,934

Greatest Common Factor

We found the factors 10,40,12,934 . The biggest common factor number is the GCF number.
So the greatest common factor 10,40,12,934 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 29/10, 94/40, 33/12, 27/934

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 29/10, 94/40, 33/12, 27/934?

Answer: LCM of Numerators as per given numbers 29/10, 94/40, 33/12, 27/934 is

LCM of Numerators i.e. for 29,94,33,27 is 809622

GCF of denominators i.e. for 10,40,12,934 is 2.

Thus, LCM of Fractions is 404811.Finally, LCM of Fractions for 29/10, 94/40, 33/12, 27/934 is 404811.