Least Common Multiple of 4024/46, 9543/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4024/46, 9543/820 quickly i.e. 19200516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4024/46, 9543/820 is 19200516.

LCM(4024/46, 9543/820) = 19200516

LCM of 4024/46, 9543/820

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 4024/46,9543/820

Given numbers are 4024/46,9543/820

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 4024,9543

Least Common Multiple of Numerators i.e. LCM of 4024,9543 is 38401032.

GCF of Denominators means GCF of 46,820 as per the given fractions.

GCF of 46,820 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4024,9543

LCM of Fractions 4024/46,9543/820 is 19200516

Given numbers has no common factors except 1. So, there LCM is their product i.e 38401032

Least Common Multiple of 4024,9543 with GCF Formula

Least Common Multiple of 4024,9543 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 4024,9543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4024,9543) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(4024,9543) x common factors =1 x 1 = 1

LCM(4024,9543) = ( 4024 × 9543 ) / 1

LCM(4024,9543) = 38401032 / 1

LCM(4024,9543) = 38401032


Lets's calculate GCF of 46,820

2 46, 820
23, 410

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38401032/2

Therefore the LCM of Fractions 4024/46,9543/820 is 19200516

Greatest Common Factor of 46,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,820 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 46,820 . The biggest common factor number is the GCF number.
So the greatest common factor 46,820 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 4024/46, 9543/820

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 4024/46, 9543/820?

Answer: LCM of Numerators as per given numbers 4024/46, 9543/820 is

LCM of Numerators i.e. for 4024,9543 is 38401032

GCF of denominators i.e. for 46,820 is 2.

Thus, LCM of Fractions is 19200516.Finally, LCM of Fractions for 4024/46, 9543/820 is 19200516.