Least Common Multiple of 36/81, 94/71, 47/20, 69/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/81, 94/71, 47/20, 69/306 quickly i.e. 38916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/81, 94/71, 47/20, 69/306 is 38916.

LCM(36/81, 94/71, 47/20, 69/306) = 38916

LCM of 36/81, 94/71, 47/20, 69/306

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 36/81,94/71,47/20,69/306

Given numbers are 36/81,94/71,47/20,69/306

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 36,94,47,69

Least Common Multiple of Numerators i.e. LCM of 36,94,47,69 is 38916.

GCF of Denominators means GCF of 81,71,20,306 as per the given fractions.

GCF of 81,71,20,306 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,94,47,69

LCM of Fractions 36/81,94/71,47/20,69/306 is 38916

2 36, 94, 47, 69
3 18, 47, 47, 69
47 6, 47, 47, 23
6, 1, 1, 23

∴ So the LCM of the given numbers is 2 x 3 x 47 x 6 x 1 x 1 x 23 = 38916

Least Common Multiple of 36,94,47,69 with GCF Formula

Least Common Multiple of 36,94,47,69 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 36,94,47,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,94,47,69) = 1

common factors(in case of two or more numbers have common factors) = 282

GCF(36,94,47,69) x common factors =1 x 282 = 282

LCM(36,94,47,69) = ( 36 × 94 × 47 × 69 ) / 282

LCM(36,94,47,69) = 10974312 / 282

LCM(36,94,47,69) = 38916


Lets's calculate GCF of 81,71,20,306

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38916/1

Therefore the LCM of Fractions 36/81,94/71,47/20,69/306 is 38916

Greatest Common Factor of 81,71,20,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,71,20,306 By Matching Biggest Common Factor Method

Factors of 81

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

1,3,9,27,81

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 81,71,20,306 . The biggest common factor number is the GCF number.
So the greatest common factor 81,71,20,306 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 36/81, 94/71, 47/20, 69/306

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 36/81, 94/71, 47/20, 69/306?

Answer: LCM of Numerators as per given numbers 36/81, 94/71, 47/20, 69/306 is

LCM of Numerators i.e. for 36,94,47,69 is 38916

GCF of denominators i.e. for 81,71,20,306 is 1.

Thus, LCM of Fractions is 38916.Finally, LCM of Fractions for 36/81, 94/71, 47/20, 69/306 is 38916.