Least Common Multiple of 82/12, 40/90, 29/26, 41/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/12, 40/90, 29/26, 41/302 quickly i.e. 23780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/12, 40/90, 29/26, 41/302 is 23780.

LCM(82/12, 40/90, 29/26, 41/302) = 23780

LCM of 82/12, 40/90, 29/26, 41/302

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 82/12,40/90,29/26,41/302

Given numbers are 82/12,40/90,29/26,41/302

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 82,40,29,41

Least Common Multiple of Numerators i.e. LCM of 82,40,29,41 is 47560.

GCF of Denominators means GCF of 12,90,26,302 as per the given fractions.

GCF of 12,90,26,302 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,40,29,41

LCM of Fractions 82/12,40/90,29/26,41/302 is 23780

2 82, 40, 29, 41
41 41, 20, 29, 41
1, 20, 29, 1

∴ So the LCM of the given numbers is 2 x 41 x 1 x 20 x 29 x 1 = 47560

Least Common Multiple of 82,40,29,41 with GCF Formula

Least Common Multiple of 82,40,29,41 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 82,40,29,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,40,29,41) = 1

common factors(in case of two or more numbers have common factors) = 82

GCF(82,40,29,41) x common factors =1 x 82 = 82

LCM(82,40,29,41) = ( 82 × 40 × 29 × 41 ) / 82

LCM(82,40,29,41) = 3899920 / 82

LCM(82,40,29,41) = 47560


Lets's calculate GCF of 12,90,26,302

2 12, 90, 26, 302
6, 45, 13, 151

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47560/2

Therefore the LCM of Fractions 82/12,40/90,29/26,41/302 is 23780

Greatest Common Factor of 12,90,26,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,90,26,302 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 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Greatest Common Factor

We found the factors 12,90,26,302 . The biggest common factor number is the GCF number.
So the greatest common factor 12,90,26,302 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 82/12, 40/90, 29/26, 41/302

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 82/12, 40/90, 29/26, 41/302?

Answer: LCM of Numerators as per given numbers 82/12, 40/90, 29/26, 41/302 is

LCM of Numerators i.e. for 82,40,29,41 is 47560

GCF of denominators i.e. for 12,90,26,302 is 2.

Thus, LCM of Fractions is 23780.Finally, LCM of Fractions for 82/12, 40/90, 29/26, 41/302 is 23780.