Least Common Multiple of 1024/404, 4728/3572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1024/404, 4728/3572 quickly i.e. 151296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1024/404, 4728/3572 is 151296.

LCM(1024/404, 4728/3572) = 151296

LCM of 1024/404, 4728/3572

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 1024/404,4728/3572

Given numbers are 1024/404,4728/3572

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 1024,4728

Least Common Multiple of Numerators i.e. LCM of 1024,4728 is 605184.

GCF of Denominators means GCF of 404,3572 as per the given fractions.

GCF of 404,3572 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1024,4728

LCM of Fractions 1024/404,4728/3572 is 151296

2 1024, 4728
2 512, 2364
2 256, 1182
128, 591

∴ So the LCM of the given numbers is 2 x 2 x 2 x 128 x 591 = 605184

Least Common Multiple of 1024,4728 with GCF Formula

Least Common Multiple of 1024,4728 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 1024,4728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1024,4728) = 8

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

GCF(1024,4728) x common factors =8 x 1 = 8

LCM(1024,4728) = ( 1024 × 4728 ) / 8

LCM(1024,4728) = 4841472 / 8

LCM(1024,4728) = 605184


Lets's calculate GCF of 404,3572

2 404, 3572
2 202, 1786
101, 893

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 605184/4

Therefore the LCM of Fractions 1024/404,4728/3572 is 151296

Greatest Common Factor of 404,3572 By Matching Biggest Common Factor Method

Greatest Common Factor of 404,3572 By Matching Biggest Common Factor Method

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 3572

List of positive integer factors of 3572 that divides 3572 without a remainder.

1,2,4,19,38,47,76,94,188,893,1786,3572

Greatest Common Factor

We found the factors 404,3572 . The biggest common factor number is the GCF number.
So the greatest common factor 404,3572 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 1024/404, 4728/3572

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 1024/404, 4728/3572?

Answer: LCM of Numerators as per given numbers 1024/404, 4728/3572 is

LCM of Numerators i.e. for 1024,4728 is 605184

GCF of denominators i.e. for 404,3572 is 4.

Thus, LCM of Fractions is 151296.Finally, LCM of Fractions for 1024/404, 4728/3572 is 151296.