Least Common Multiple of 488/599, 9813/6024

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 488/599, 9813/6024 quickly i.e. 4788744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 488/599, 9813/6024 is 4788744.

LCM(488/599, 9813/6024) = 4788744

LCM of 488/599, 9813/6024

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 488/599,9813/6024

Given numbers are 488/599,9813/6024

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 488,9813

Least Common Multiple of Numerators i.e. LCM of 488,9813 is 4788744.

GCF of Denominators means GCF of 599,6024 as per the given fractions.

GCF of 599,6024 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 488,9813

LCM of Fractions 488/599,9813/6024 is 4788744

Given numbers has no common factors except 1. So, there LCM is their product i.e 4788744

Least Common Multiple of 488,9813 with GCF Formula

Least Common Multiple of 488,9813 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 488,9813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,9813) = 1

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

GCF(488,9813) x common factors =1 x 1 = 1

LCM(488,9813) = ( 488 × 9813 ) / 1

LCM(488,9813) = 4788744 / 1

LCM(488,9813) = 4788744


Lets's calculate GCF of 599,6024

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4788744/1

Therefore the LCM of Fractions 488/599,9813/6024 is 4788744

Greatest Common Factor of 599,6024 By Matching Biggest Common Factor Method

Greatest Common Factor of 599,6024 By Matching Biggest Common Factor Method

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Factors of 6024

List of positive integer factors of 6024 that divides 6024 without a remainder.

1,2,3,4,6,8,12,24,251,502,753,1004,1506,2008,3012,6024

Greatest Common Factor

We found the factors 599,6024 . The biggest common factor number is the GCF number.
So the greatest common factor 599,6024 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 488/599, 9813/6024

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 488/599, 9813/6024?

Answer: LCM of Numerators as per given numbers 488/599, 9813/6024 is

LCM of Numerators i.e. for 488,9813 is 4788744

GCF of denominators i.e. for 599,6024 is 1.

Thus, LCM of Fractions is 4788744.Finally, LCM of Fractions for 488/599, 9813/6024 is 4788744.