Least Common Multiple of 20/53, 38/19, 398/24

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/53, 38/19, 398/24 quickly i.e. 75620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/53, 38/19, 398/24 is 75620.

LCM(20/53, 38/19, 398/24) = 75620

LCM of 20/53, 38/19, 398/24

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 20/53,38/19,398/24

Given numbers are 20/53,38/19,398/24

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 20,38,398

Least Common Multiple of Numerators i.e. LCM of 20,38,398 is 75620.

GCF of Denominators means GCF of 53,19,24 as per the given fractions.

GCF of 53,19,24 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,38,398

LCM of Fractions 20/53,38/19,398/24 is 75620

2 20, 38, 398
10, 19, 199

∴ So the LCM of the given numbers is 2 x 10 x 19 x 199 = 75620

Least Common Multiple of 20,38,398 with GCF Formula

Least Common Multiple of 20,38,398 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 20,38,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,38,398) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(20,38,398) x common factors =2 x 2 = 4

LCM(20,38,398) = ( 20 × 38 × 398 ) / 4

LCM(20,38,398) = 302480 / 4

LCM(20,38,398) = 75620


Lets's calculate GCF of 53,19,24

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75620/1

Therefore the LCM of Fractions 20/53,38/19,398/24 is 75620

Greatest Common Factor of 53,19,24 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,19,24 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Greatest Common Factor

We found the factors 53,19,24 . The biggest common factor number is the GCF number.
So the greatest common factor 53,19,24 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 20/53, 38/19, 398/24

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 20/53, 38/19, 398/24?

Answer: LCM of Numerators as per given numbers 20/53, 38/19, 398/24 is

LCM of Numerators i.e. for 20,38,398 is 75620

GCF of denominators i.e. for 53,19,24 is 1.

Thus, LCM of Fractions is 75620.Finally, LCM of Fractions for 20/53, 38/19, 398/24 is 75620.