Least Common Multiple of 29/82, 46/46, 31/12

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/82, 46/46, 31/12 quickly i.e. 20677 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/82, 46/46, 31/12 is 20677.

LCM(29/82, 46/46, 31/12) = 20677

LCM of 29/82, 46/46, 31/12

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 29/82,46/46,31/12

Given numbers are 29/82,46/46,31/12

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 29,46,31

Least Common Multiple of Numerators i.e. LCM of 29,46,31 is 41354.

GCF of Denominators means GCF of 82,46,12 as per the given fractions.

GCF of 82,46,12 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,46,31

LCM of Fractions 29/82,46/46,31/12 is 20677

Given numbers has no common factors except 1. So, there LCM is their product i.e 41354

Least Common Multiple of 29,46,31 with GCF Formula

Least Common Multiple of 29,46,31 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 29,46,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,46,31) = 1

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

GCF(29,46,31) x common factors =1 x 1 = 1

LCM(29,46,31) = ( 29 × 46 × 31 ) / 1

LCM(29,46,31) = 41354 / 1

LCM(29,46,31) = 41354


Lets's calculate GCF of 82,46,12

2 82, 46, 12
41, 23, 6

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41354/2

Therefore the LCM of Fractions 29/82,46/46,31/12 is 20677

Greatest Common Factor of 82,46,12 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,46,12 By Matching Biggest Common Factor Method

Factors of 82

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

1,2,41,82

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 12

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

1,2,3,4,6,12

Greatest Common Factor

We found the factors 82,46,12 . The biggest common factor number is the GCF number.
So the greatest common factor 82,46,12 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 29/82, 46/46, 31/12

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 29/82, 46/46, 31/12?

Answer: LCM of Numerators as per given numbers 29/82, 46/46, 31/12 is

LCM of Numerators i.e. for 29,46,31 is 41354

GCF of denominators i.e. for 82,46,12 is 2.

Thus, LCM of Fractions is 20677.Finally, LCM of Fractions for 29/82, 46/46, 31/12 is 20677.