Least Common Multiple of 728/801, 6031/4512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 728/801, 6031/4512 quickly i.e. 4390568/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 728/801, 6031/4512 is 4390568/3.

LCM(728/801, 6031/4512) = 4390568/3

LCM of 728/801, 6031/4512

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 728/801,6031/4512

Given numbers are 728/801,6031/4512

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 728,6031

Least Common Multiple of Numerators i.e. LCM of 728,6031 is 4390568.

GCF of Denominators means GCF of 801,4512 as per the given fractions.

GCF of 801,4512 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 728,6031

LCM of Fractions 728/801,6031/4512 is 4390568/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 4390568

Least Common Multiple of 728,6031 with GCF Formula

Least Common Multiple of 728,6031 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 728,6031 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,6031) = 1

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

GCF(728,6031) x common factors =1 x 1 = 1

LCM(728,6031) = ( 728 × 6031 ) / 1

LCM(728,6031) = 4390568 / 1

LCM(728,6031) = 4390568


Lets's calculate GCF of 801,4512

3 801, 4512
267, 1504

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4390568/3

Therefore the LCM of Fractions 728/801,6031/4512 is 4390568/3

Greatest Common Factor of 801,4512 By Matching Biggest Common Factor Method

Greatest Common Factor of 801,4512 By Matching Biggest Common Factor Method

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Factors of 4512

List of positive integer factors of 4512 that divides 4512 without a remainder.

1,2,3,4,6,8,12,16,24,32,47,48,94,96,141,188,282,376,564,752,1128,1504,2256,4512

Greatest Common Factor

We found the factors 801,4512 . The biggest common factor number is the GCF number.
So the greatest common factor 801,4512 is 3.


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 728/801, 6031/4512

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 728/801, 6031/4512?

Answer: LCM of Numerators as per given numbers 728/801, 6031/4512 is

LCM of Numerators i.e. for 728,6031 is 4390568

GCF of denominators i.e. for 801,4512 is 3.

Thus, LCM of Fractions is 4390568/3.Finally, LCM of Fractions for 728/801, 6031/4512 is 4390568/3.