Least Common Multiple of 519/584, 9008/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 519/584, 9008/488 quickly i.e. 584394 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 519/584, 9008/488 is 584394.

LCM(519/584, 9008/488) = 584394

LCM of 519/584, 9008/488

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 519/584,9008/488

Given numbers are 519/584,9008/488

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 519,9008

Least Common Multiple of Numerators i.e. LCM of 519,9008 is 4675152.

GCF of Denominators means GCF of 584,488 as per the given fractions.

GCF of 584,488 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 519,9008

LCM of Fractions 519/584,9008/488 is 584394

Given numbers has no common factors except 1. So, there LCM is their product i.e 4675152

Least Common Multiple of 519,9008 with GCF Formula

Least Common Multiple of 519,9008 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 519,9008 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(519,9008) = 1

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

GCF(519,9008) x common factors =1 x 1 = 1

LCM(519,9008) = ( 519 × 9008 ) / 1

LCM(519,9008) = 4675152 / 1

LCM(519,9008) = 4675152


Lets's calculate GCF of 584,488

2 584, 488
2 292, 244
2 146, 122
73, 61

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4675152/8

Therefore the LCM of Fractions 519/584,9008/488 is 584394

Greatest Common Factor of 584,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 584,488 By Matching Biggest Common Factor Method

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 584,488 . The biggest common factor number is the GCF number.
So the greatest common factor 584,488 is 8.


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 519/584, 9008/488

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 519/584, 9008/488?

Answer: LCM of Numerators as per given numbers 519/584, 9008/488 is

LCM of Numerators i.e. for 519,9008 is 4675152

GCF of denominators i.e. for 584,488 is 8.

Thus, LCM of Fractions is 584394.Finally, LCM of Fractions for 519/584, 9008/488 is 584394.