Least Common Multiple of 4797/589, 5728/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4797/589, 5728/534 quickly i.e. 27477216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4797/589, 5728/534 is 27477216.

LCM(4797/589, 5728/534) = 27477216

LCM of 4797/589, 5728/534

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 4797/589,5728/534

Given numbers are 4797/589,5728/534

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 4797,5728

Least Common Multiple of Numerators i.e. LCM of 4797,5728 is 27477216.

GCF of Denominators means GCF of 589,534 as per the given fractions.

GCF of 589,534 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4797,5728

LCM of Fractions 4797/589,5728/534 is 27477216

Given numbers has no common factors except 1. So, there LCM is their product i.e 27477216

Least Common Multiple of 4797,5728 with GCF Formula

Least Common Multiple of 4797,5728 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 4797,5728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4797,5728) = 1

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

GCF(4797,5728) x common factors =1 x 1 = 1

LCM(4797,5728) = ( 4797 × 5728 ) / 1

LCM(4797,5728) = 27477216 / 1

LCM(4797,5728) = 27477216


Lets's calculate GCF of 589,534

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27477216/1

Therefore the LCM of Fractions 4797/589,5728/534 is 27477216

Greatest Common Factor of 589,534 By Matching Biggest Common Factor Method

Greatest Common Factor of 589,534 By Matching Biggest Common Factor Method

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Greatest Common Factor

We found the factors 589,534 . The biggest common factor number is the GCF number.
So the greatest common factor 589,534 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4797/589, 5728/534

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 4797/589, 5728/534?

Answer: LCM of Numerators as per given numbers 4797/589, 5728/534 is

LCM of Numerators i.e. for 4797,5728 is 27477216

GCF of denominators i.e. for 589,534 is 1.

Thus, LCM of Fractions is 27477216.Finally, LCM of Fractions for 4797/589, 5728/534 is 27477216.