Least Common Multiple of 11/20, 12/92, 81/38, 58/244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/20, 12/92, 81/38, 58/244 quickly i.e. 51678 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/20, 12/92, 81/38, 58/244 is 51678.

LCM(11/20, 12/92, 81/38, 58/244) = 51678

LCM of 11/20, 12/92, 81/38, 58/244

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 11/20,12/92,81/38,58/244

Given numbers are 11/20,12/92,81/38,58/244

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 11,12,81,58

Least Common Multiple of Numerators i.e. LCM of 11,12,81,58 is 103356.

GCF of Denominators means GCF of 20,92,38,244 as per the given fractions.

GCF of 20,92,38,244 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,12,81,58

LCM of Fractions 11/20,12/92,81/38,58/244 is 51678

2 11, 12, 81, 58
3 11, 6, 81, 29
11, 2, 27, 29

∴ So the LCM of the given numbers is 2 x 3 x 11 x 2 x 27 x 29 = 103356

Least Common Multiple of 11,12,81,58 with GCF Formula

Least Common Multiple of 11,12,81,58 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 11,12,81,58 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,12,81,58) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(11,12,81,58) x common factors =1 x 6 = 6

LCM(11,12,81,58) = ( 11 × 12 × 81 × 58 ) / 6

LCM(11,12,81,58) = 620136 / 6

LCM(11,12,81,58) = 103356


Lets's calculate GCF of 20,92,38,244

2 20, 92, 38, 244
10, 46, 19, 122

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103356/2

Therefore the LCM of Fractions 11/20,12/92,81/38,58/244 is 51678

Greatest Common Factor of 20,92,38,244 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,92,38,244 By Matching Biggest Common Factor Method

Factors of 20

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

1,2,4,5,10,20

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Greatest Common Factor

We found the factors 20,92,38,244 . The biggest common factor number is the GCF number.
So the greatest common factor 20,92,38,244 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 11/20, 12/92, 81/38, 58/244

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 11/20, 12/92, 81/38, 58/244?

Answer: LCM of Numerators as per given numbers 11/20, 12/92, 81/38, 58/244 is

LCM of Numerators i.e. for 11,12,81,58 is 103356

GCF of denominators i.e. for 20,92,38,244 is 2.

Thus, LCM of Fractions is 51678.Finally, LCM of Fractions for 11/20, 12/92, 81/38, 58/244 is 51678.