Least Common Multiple of 15/192, 21/529, 596/303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/192, 21/529, 596/303 quickly i.e. 62580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/192, 21/529, 596/303 is 62580.

LCM(15/192, 21/529, 596/303) = 62580

LCM of 15/192, 21/529, 596/303

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 15/192,21/529,596/303

Given numbers are 15/192,21/529,596/303

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 15,21,596

Least Common Multiple of Numerators i.e. LCM of 15,21,596 is 62580.

GCF of Denominators means GCF of 192,529,303 as per the given fractions.

GCF of 192,529,303 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,21,596

LCM of Fractions 15/192,21/529,596/303 is 62580

3 15, 21, 596
5, 7, 596

∴ So the LCM of the given numbers is 3 x 5 x 7 x 596 = 62580

Least Common Multiple of 15,21,596 with GCF Formula

Least Common Multiple of 15,21,596 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 15,21,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,21,596) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(15,21,596) x common factors =1 x 3 = 3

LCM(15,21,596) = ( 15 × 21 × 596 ) / 3

LCM(15,21,596) = 187740 / 3

LCM(15,21,596) = 62580


Lets's calculate GCF of 192,529,303

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62580/1

Therefore the LCM of Fractions 15/192,21/529,596/303 is 62580

Greatest Common Factor of 192,529,303 By Matching Biggest Common Factor Method

Greatest Common Factor of 192,529,303 By Matching Biggest Common Factor Method

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Greatest Common Factor

We found the factors 192,529,303 . The biggest common factor number is the GCF number.
So the greatest common factor 192,529,303 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 15/192, 21/529, 596/303

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 15/192, 21/529, 596/303?

Answer: LCM of Numerators as per given numbers 15/192, 21/529, 596/303 is

LCM of Numerators i.e. for 15,21,596 is 62580

GCF of denominators i.e. for 192,529,303 is 1.

Thus, LCM of Fractions is 62580.Finally, LCM of Fractions for 15/192, 21/529, 596/303 is 62580.