Least Common Multiple of 728/20, 4318/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 728/20, 4318/816 quickly i.e. 392938 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 728/20, 4318/816 is 392938.

LCM(728/20, 4318/816) = 392938

LCM of 728/20, 4318/816

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 728/20,4318/816

Given numbers are 728/20,4318/816

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 728,4318

Least Common Multiple of Numerators i.e. LCM of 728,4318 is 1571752.

GCF of Denominators means GCF of 20,816 as per the given fractions.

GCF of 20,816 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 728,4318

LCM of Fractions 728/20,4318/816 is 392938

2 728, 4318
364, 2159

∴ So the LCM of the given numbers is 2 x 364 x 2159 = 1571752

Least Common Multiple of 728,4318 with GCF Formula

Least Common Multiple of 728,4318 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 728,4318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,4318) = 2

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

GCF(728,4318) x common factors =2 x 1 = 2

LCM(728,4318) = ( 728 × 4318 ) / 2

LCM(728,4318) = 3143504 / 2

LCM(728,4318) = 1571752


Lets's calculate GCF of 20,816

2 20, 816
2 10, 408
5, 204

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1571752/4

Therefore the LCM of Fractions 728/20,4318/816 is 392938

Greatest Common Factor of 20,816 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,816 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 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Greatest Common Factor

We found the factors 20,816 . The biggest common factor number is the GCF number.
So the greatest common factor 20,816 is 4.


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 728/20, 4318/816

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 728/20, 4318/816?

Answer: LCM of Numerators as per given numbers 728/20, 4318/816 is

LCM of Numerators i.e. for 728,4318 is 1571752

GCF of denominators i.e. for 20,816 is 4.

Thus, LCM of Fractions is 392938.Finally, LCM of Fractions for 728/20, 4318/816 is 392938.