Least Common Multiple of 584/53, 513/1719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 584/53, 513/1719 quickly i.e. 299592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 584/53, 513/1719 is 299592.

LCM(584/53, 513/1719) = 299592

LCM of 584/53, 513/1719

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 584/53,513/1719

Given numbers are 584/53,513/1719

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 584,513

Least Common Multiple of Numerators i.e. LCM of 584,513 is 299592.

GCF of Denominators means GCF of 53,1719 as per the given fractions.

GCF of 53,1719 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 584,513

LCM of Fractions 584/53,513/1719 is 299592

Given numbers has no common factors except 1. So, there LCM is their product i.e 299592

Least Common Multiple of 584,513 with GCF Formula

Least Common Multiple of 584,513 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 584,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,513) = 1

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

GCF(584,513) x common factors =1 x 1 = 1

LCM(584,513) = ( 584 × 513 ) / 1

LCM(584,513) = 299592 / 1

LCM(584,513) = 299592


Lets's calculate GCF of 53,1719

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 299592/1

Therefore the LCM of Fractions 584/53,513/1719 is 299592

Greatest Common Factor of 53,1719 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,1719 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 1719

List of positive integer factors of 1719 that divides 1719 without a remainder.

1,3,9,191,573,1719

Greatest Common Factor

We found the factors 53,1719 . The biggest common factor number is the GCF number.
So the greatest common factor 53,1719 is 1.


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 584/53, 513/1719

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 584/53, 513/1719?

Answer: LCM of Numerators as per given numbers 584/53, 513/1719 is

LCM of Numerators i.e. for 584,513 is 299592

GCF of denominators i.e. for 53,1719 is 1.

Thus, LCM of Fractions is 299592.Finally, LCM of Fractions for 584/53, 513/1719 is 299592.