Least Common Multiple of 12/80, 12/39, 44/58, 506/81

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/80, 12/39, 44/58, 506/81 quickly i.e. 3036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/80, 12/39, 44/58, 506/81 is 3036.

LCM(12/80, 12/39, 44/58, 506/81) = 3036

LCM of 12/80, 12/39, 44/58, 506/81

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 12/80,12/39,44/58,506/81

Given numbers are 12/80,12/39,44/58,506/81

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 12,12,44,506

Least Common Multiple of Numerators i.e. LCM of 12,12,44,506 is 3036.

GCF of Denominators means GCF of 80,39,58,81 as per the given fractions.

GCF of 80,39,58,81 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,12,44,506

LCM of Fractions 12/80,12/39,44/58,506/81 is 3036

2 12, 12, 44, 506
2 6, 6, 22, 253
3 3, 3, 11, 253
11 1, 1, 11, 253
1, 1, 1, 23

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 1 x 1 x 1 x 23 = 3036

Least Common Multiple of 12,12,44,506 with GCF Formula

Least Common Multiple of 12,12,44,506 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 12,12,44,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,12,44,506) = 2

common factors(in case of two or more numbers have common factors) = 528

GCF(12,12,44,506) x common factors =2 x 528 = 1056

LCM(12,12,44,506) = ( 12 × 12 × 44 × 506 ) / 1056

LCM(12,12,44,506) = 3206016 / 1056

LCM(12,12,44,506) = 3036


Lets's calculate GCF of 80,39,58,81

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3036/1

Therefore the LCM of Fractions 12/80,12/39,44/58,506/81 is 3036

Greatest Common Factor of 80,39,58,81 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,39,58,81 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Greatest Common Factor

We found the factors 80,39,58,81 . The biggest common factor number is the GCF number.
So the greatest common factor 80,39,58,81 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 12/80, 12/39, 44/58, 506/81

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 12/80, 12/39, 44/58, 506/81?

Answer: LCM of Numerators as per given numbers 12/80, 12/39, 44/58, 506/81 is

LCM of Numerators i.e. for 12,12,44,506 is 3036

GCF of denominators i.e. for 80,39,58,81 is 1.

Thus, LCM of Fractions is 3036.Finally, LCM of Fractions for 12/80, 12/39, 44/58, 506/81 is 3036.