Least Common Multiple of 16/12, 29/40, 41/76, 41/935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/12, 29/40, 41/76, 41/935 quickly i.e. 19024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/12, 29/40, 41/76, 41/935 is 19024.

LCM(16/12, 29/40, 41/76, 41/935) = 19024

LCM of 16/12, 29/40, 41/76, 41/935

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 16/12,29/40,41/76,41/935

Given numbers are 16/12,29/40,41/76,41/935

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 16,29,41,41

Least Common Multiple of Numerators i.e. LCM of 16,29,41,41 is 19024.

GCF of Denominators means GCF of 12,40,76,935 as per the given fractions.

GCF of 12,40,76,935 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,29,41,41

LCM of Fractions 16/12,29/40,41/76,41/935 is 19024

41 16, 29, 41, 41
16, 29, 1, 1

∴ So the LCM of the given numbers is 41 x 16 x 29 x 1 x 1 = 19024

Least Common Multiple of 16,29,41,41 with GCF Formula

Least Common Multiple of 16,29,41,41 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 16,29,41,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,29,41,41) = 1

common factors(in case of two or more numbers have common factors) = 41

GCF(16,29,41,41) x common factors =1 x 41 = 41

LCM(16,29,41,41) = ( 16 × 29 × 41 × 41 ) / 41

LCM(16,29,41,41) = 779984 / 41

LCM(16,29,41,41) = 19024


Lets's calculate GCF of 12,40,76,935

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19024/1

Therefore the LCM of Fractions 16/12,29/40,41/76,41/935 is 19024

Greatest Common Factor of 12,40,76,935 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,40,76,935 By Matching Biggest Common Factor Method

Factors of 12

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

1,2,3,4,6,12

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 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Greatest Common Factor

We found the factors 12,40,76,935 . The biggest common factor number is the GCF number.
So the greatest common factor 12,40,76,935 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 16/12, 29/40, 41/76, 41/935

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 16/12, 29/40, 41/76, 41/935?

Answer: LCM of Numerators as per given numbers 16/12, 29/40, 41/76, 41/935 is

LCM of Numerators i.e. for 16,29,41,41 is 19024

GCF of denominators i.e. for 12,40,76,935 is 1.

Thus, LCM of Fractions is 19024.Finally, LCM of Fractions for 16/12, 29/40, 41/76, 41/935 is 19024.