Least Common Multiple of 6488/519, 9081/4821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6488/519, 9081/4821 quickly i.e. 19639176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6488/519, 9081/4821 is 19639176.

LCM(6488/519, 9081/4821) = 19639176

LCM of 6488/519, 9081/4821

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 6488/519,9081/4821

Given numbers are 6488/519,9081/4821

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 6488,9081

Least Common Multiple of Numerators i.e. LCM of 6488,9081 is 58917528.

GCF of Denominators means GCF of 519,4821 as per the given fractions.

GCF of 519,4821 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6488,9081

LCM of Fractions 6488/519,9081/4821 is 19639176

Given numbers has no common factors except 1. So, there LCM is their product i.e 58917528

Least Common Multiple of 6488,9081 with GCF Formula

Least Common Multiple of 6488,9081 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 6488,9081 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6488,9081) = 1

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

GCF(6488,9081) x common factors =1 x 1 = 1

LCM(6488,9081) = ( 6488 × 9081 ) / 1

LCM(6488,9081) = 58917528 / 1

LCM(6488,9081) = 58917528


Lets's calculate GCF of 519,4821

3 519, 4821
173, 1607

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58917528/3

Therefore the LCM of Fractions 6488/519,9081/4821 is 19639176

Greatest Common Factor of 519,4821 By Matching Biggest Common Factor Method

Greatest Common Factor of 519,4821 By Matching Biggest Common Factor Method

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Factors of 4821

List of positive integer factors of 4821 that divides 4821 without a remainder.

1,3,1607,4821

Greatest Common Factor

We found the factors 519,4821 . The biggest common factor number is the GCF number.
So the greatest common factor 519,4821 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6488/519, 9081/4821

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 6488/519, 9081/4821?

Answer: LCM of Numerators as per given numbers 6488/519, 9081/4821 is

LCM of Numerators i.e. for 6488,9081 is 58917528

GCF of denominators i.e. for 519,4821 is 3.

Thus, LCM of Fractions is 19639176.Finally, LCM of Fractions for 6488/519, 9081/4821 is 19639176.