Least Common Multiple of 38/20, 12/23, 52/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/20, 12/23, 52/866 quickly i.e. 2964 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/20, 12/23, 52/866 is 2964.

LCM(38/20, 12/23, 52/866) = 2964

LCM of 38/20, 12/23, 52/866

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 38/20,12/23,52/866

Given numbers are 38/20,12/23,52/866

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 38,12,52

Least Common Multiple of Numerators i.e. LCM of 38,12,52 is 2964.

GCF of Denominators means GCF of 20,23,866 as per the given fractions.

GCF of 20,23,866 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,12,52

LCM of Fractions 38/20,12/23,52/866 is 2964

2 38, 12, 52
2 19, 6, 26
19, 3, 13

∴ So the LCM of the given numbers is 2 x 2 x 19 x 3 x 13 = 2964

Least Common Multiple of 38,12,52 with GCF Formula

Least Common Multiple of 38,12,52 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 38,12,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,12,52) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(38,12,52) x common factors =2 x 4 = 8

LCM(38,12,52) = ( 38 × 12 × 52 ) / 8

LCM(38,12,52) = 23712 / 8

LCM(38,12,52) = 2964


Lets's calculate GCF of 20,23,866

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2964/1

Therefore the LCM of Fractions 38/20,12/23,52/866 is 2964

Greatest Common Factor of 20,23,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,23,866 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 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 20,23,866 . The biggest common factor number is the GCF number.
So the greatest common factor 20,23,866 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 38/20, 12/23, 52/866

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 38/20, 12/23, 52/866?

Answer: LCM of Numerators as per given numbers 38/20, 12/23, 52/866 is

LCM of Numerators i.e. for 38,12,52 is 2964

GCF of denominators i.e. for 20,23,866 is 1.

Thus, LCM of Fractions is 2964.Finally, LCM of Fractions for 38/20, 12/23, 52/866 is 2964.