Least Common Multiple of 52/516, 812/408, 960/588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/516, 812/408, 960/588 quickly i.e. 211120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/516, 812/408, 960/588 is 211120.

LCM(52/516, 812/408, 960/588) = 211120

LCM of 52/516, 812/408, 960/588

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 52/516,812/408,960/588

Given numbers are 52/516,812/408,960/588

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 52,812,960

Least Common Multiple of Numerators i.e. LCM of 52,812,960 is 2533440.

GCF of Denominators means GCF of 516,408,588 as per the given fractions.

GCF of 516,408,588 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,812,960

LCM of Fractions 52/516,812/408,960/588 is 211120

2 52, 812, 960
2 26, 406, 480
13, 203, 240

∴ So the LCM of the given numbers is 2 x 2 x 13 x 203 x 240 = 2533440

Least Common Multiple of 52,812,960 with GCF Formula

Least Common Multiple of 52,812,960 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 52,812,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,812,960) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(52,812,960) x common factors =4 x 4 = 16

LCM(52,812,960) = ( 52 × 812 × 960 ) / 16

LCM(52,812,960) = 40535040 / 16

LCM(52,812,960) = 2533440


Lets's calculate GCF of 516,408,588

2 516, 408, 588
2 258, 204, 294
3 129, 102, 147
43, 34, 49

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2533440/12

Therefore the LCM of Fractions 52/516,812/408,960/588 is 211120

Greatest Common Factor of 516,408,588 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,408,588 By Matching Biggest Common Factor Method

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Greatest Common Factor

We found the factors 516,408,588 . The biggest common factor number is the GCF number.
So the greatest common factor 516,408,588 is 12.


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 52/516, 812/408, 960/588

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 52/516, 812/408, 960/588?

Answer: LCM of Numerators as per given numbers 52/516, 812/408, 960/588 is

LCM of Numerators i.e. for 52,812,960 is 2533440

GCF of denominators i.e. for 516,408,588 is 12.

Thus, LCM of Fractions is 211120.Finally, LCM of Fractions for 52/516, 812/408, 960/588 is 211120.