Least Common Multiple of 5832/50, 8064/926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5832/50, 8064/926 quickly i.e. 326592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5832/50, 8064/926 is 326592.

LCM(5832/50, 8064/926) = 326592

LCM of 5832/50, 8064/926

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 5832/50,8064/926

Given numbers are 5832/50,8064/926

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 5832,8064

Least Common Multiple of Numerators i.e. LCM of 5832,8064 is 653184.

GCF of Denominators means GCF of 50,926 as per the given fractions.

GCF of 50,926 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5832,8064

LCM of Fractions 5832/50,8064/926 is 326592

2 5832, 8064
2 2916, 4032
2 1458, 2016
3 729, 1008
3 243, 336
81, 112

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 81 x 112 = 653184

Least Common Multiple of 5832,8064 with GCF Formula

Least Common Multiple of 5832,8064 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 5832,8064 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5832,8064) = 72

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

GCF(5832,8064) x common factors =72 x 1 = 72

LCM(5832,8064) = ( 5832 × 8064 ) / 72

LCM(5832,8064) = 47029248 / 72

LCM(5832,8064) = 653184


Lets's calculate GCF of 50,926

2 50, 926
25, 463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 653184/2

Therefore the LCM of Fractions 5832/50,8064/926 is 326592

Greatest Common Factor of 50,926 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,926 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Greatest Common Factor

We found the factors 50,926 . The biggest common factor number is the GCF number.
So the greatest common factor 50,926 is 2.


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 5832/50, 8064/926

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 5832/50, 8064/926?

Answer: LCM of Numerators as per given numbers 5832/50, 8064/926 is

LCM of Numerators i.e. for 5832,8064 is 653184

GCF of denominators i.e. for 50,926 is 2.

Thus, LCM of Fractions is 326592.Finally, LCM of Fractions for 5832/50, 8064/926 is 326592.