Least Common Multiple of 53/36, 72/73, 596/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/36, 72/73, 596/412 quickly i.e. 568584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/36, 72/73, 596/412 is 568584.

LCM(53/36, 72/73, 596/412) = 568584

LCM of 53/36, 72/73, 596/412

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 53/36,72/73,596/412

Given numbers are 53/36,72/73,596/412

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 53,72,596

Least Common Multiple of Numerators i.e. LCM of 53,72,596 is 568584.

GCF of Denominators means GCF of 36,73,412 as per the given fractions.

GCF of 36,73,412 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,72,596

LCM of Fractions 53/36,72/73,596/412 is 568584

2 53, 72, 596
2 53, 36, 298
53, 18, 149

∴ So the LCM of the given numbers is 2 x 2 x 53 x 18 x 149 = 568584

Least Common Multiple of 53,72,596 with GCF Formula

Least Common Multiple of 53,72,596 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 53,72,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,72,596) = 1

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

GCF(53,72,596) x common factors =1 x 4 = 4

LCM(53,72,596) = ( 53 × 72 × 596 ) / 4

LCM(53,72,596) = 2274336 / 4

LCM(53,72,596) = 568584


Lets's calculate GCF of 36,73,412

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 568584/1

Therefore the LCM of Fractions 53/36,72/73,596/412 is 568584

Greatest Common Factor of 36,73,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,73,412 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Greatest Common Factor

We found the factors 36,73,412 . The biggest common factor number is the GCF number.
So the greatest common factor 36,73,412 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 53/36, 72/73, 596/412

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 53/36, 72/73, 596/412?

Answer: LCM of Numerators as per given numbers 53/36, 72/73, 596/412 is

LCM of Numerators i.e. for 53,72,596 is 568584

GCF of denominators i.e. for 36,73,412 is 1.

Thus, LCM of Fractions is 568584.Finally, LCM of Fractions for 53/36, 72/73, 596/412 is 568584.