Least Common Multiple of 513/37, 1584/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 513/37, 1584/592 quickly i.e. 90288/37 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 513/37, 1584/592 is 90288/37.

LCM(513/37, 1584/592) = 90288/37

LCM of 513/37, 1584/592

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 513/37,1584/592

Given numbers are 513/37,1584/592

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 513,1584

Least Common Multiple of Numerators i.e. LCM of 513,1584 is 90288.

GCF of Denominators means GCF of 37,592 as per the given fractions.

GCF of 37,592 is 37 as it is the largest common factor for these numbers.

Lets's calculate LCM of 513,1584

LCM of Fractions 513/37,1584/592 is 90288/37

3 513, 1584
3 171, 528
57, 176

∴ So the LCM of the given numbers is 3 x 3 x 57 x 176 = 90288

Least Common Multiple of 513,1584 with GCF Formula

Least Common Multiple of 513,1584 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 513,1584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(513,1584) = 9

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

GCF(513,1584) x common factors =9 x 1 = 9

LCM(513,1584) = ( 513 × 1584 ) / 9

LCM(513,1584) = 812592 / 9

LCM(513,1584) = 90288


Lets's calculate GCF of 37,592

37 37, 592
1, 16

∴ So the GCF of the given numbers is 37 = 37

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90288/37

Therefore the LCM of Fractions 513/37,1584/592 is 90288/37

Greatest Common Factor of 37,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,592 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 37,592 . The biggest common factor number is the GCF number.
So the greatest common factor 37,592 is 37.


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 513/37, 1584/592

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 513/37, 1584/592?

Answer: LCM of Numerators as per given numbers 513/37, 1584/592 is

LCM of Numerators i.e. for 513,1584 is 90288

GCF of denominators i.e. for 37,592 is 37.

Thus, LCM of Fractions is 90288/37.Finally, LCM of Fractions for 513/37, 1584/592 is 90288/37.