Least Common Multiple of 128/75, 582/76, 521/53

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 128/75, 582/76, 521/53 quickly i.e. 19406208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 128/75, 582/76, 521/53 is 19406208.

LCM(128/75, 582/76, 521/53) = 19406208

LCM of 128/75, 582/76, 521/53

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 128/75,582/76,521/53

Given numbers are 128/75,582/76,521/53

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 128,582,521

Least Common Multiple of Numerators i.e. LCM of 128,582,521 is 19406208.

GCF of Denominators means GCF of 75,76,53 as per the given fractions.

GCF of 75,76,53 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 128,582,521

LCM of Fractions 128/75,582/76,521/53 is 19406208

2 128, 582, 521
64, 291, 521

∴ So the LCM of the given numbers is 2 x 64 x 291 x 521 = 19406208

Least Common Multiple of 128,582,521 with GCF Formula

Least Common Multiple of 128,582,521 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 128,582,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(128,582,521) = 1

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

GCF(128,582,521) x common factors =1 x 2 = 2

LCM(128,582,521) = ( 128 × 582 × 521 ) / 2

LCM(128,582,521) = 38812416 / 2

LCM(128,582,521) = 19406208


Lets's calculate GCF of 75,76,53

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19406208/1

Therefore the LCM of Fractions 128/75,582/76,521/53 is 19406208

Greatest Common Factor of 75,76,53 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,76,53 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 53

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

1,53

Greatest Common Factor

We found the factors 75,76,53 . The biggest common factor number is the GCF number.
So the greatest common factor 75,76,53 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 128/75, 582/76, 521/53

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 128/75, 582/76, 521/53?

Answer: LCM of Numerators as per given numbers 128/75, 582/76, 521/53 is

LCM of Numerators i.e. for 128,582,521 is 19406208

GCF of denominators i.e. for 75,76,53 is 1.

Thus, LCM of Fractions is 19406208.Finally, LCM of Fractions for 128/75, 582/76, 521/53 is 19406208.