Least Common Multiple of 464/16, 586/1024

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 464/16, 586/1024 quickly i.e. 8497 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 464/16, 586/1024 is 8497.

LCM(464/16, 586/1024) = 8497

LCM of 464/16, 586/1024

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 464/16,586/1024

Given numbers are 464/16,586/1024

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 464,586

Least Common Multiple of Numerators i.e. LCM of 464,586 is 135952.

GCF of Denominators means GCF of 16,1024 as per the given fractions.

GCF of 16,1024 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 464,586

LCM of Fractions 464/16,586/1024 is 8497

2 464, 586
232, 293

∴ So the LCM of the given numbers is 2 x 232 x 293 = 135952

Least Common Multiple of 464,586 with GCF Formula

Least Common Multiple of 464,586 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 464,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,586) = 2

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

GCF(464,586) x common factors =2 x 1 = 2

LCM(464,586) = ( 464 × 586 ) / 2

LCM(464,586) = 271904 / 2

LCM(464,586) = 135952


Lets's calculate GCF of 16,1024

2 16, 1024
2 8, 512
2 4, 256
2 2, 128
1, 64

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135952/16

Therefore the LCM of Fractions 464/16,586/1024 is 8497

Greatest Common Factor of 16,1024 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,1024 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 1024

List of positive integer factors of 1024 that divides 1024 without a remainder.

1,2,4,8,16,32,64,128,256,512,1024

Greatest Common Factor

We found the factors 16,1024 . The biggest common factor number is the GCF number.
So the greatest common factor 16,1024 is 16.


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 464/16, 586/1024

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 464/16, 586/1024?

Answer: LCM of Numerators as per given numbers 464/16, 586/1024 is

LCM of Numerators i.e. for 464,586 is 135952

GCF of denominators i.e. for 16,1024 is 16.

Thus, LCM of Fractions is 8497.Finally, LCM of Fractions for 464/16, 586/1024 is 8497.