Least Common Multiple of 325/816, 556/593, 624/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 325/816, 556/593, 624/115 quickly i.e. 2168400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 325/816, 556/593, 624/115 is 2168400.

LCM(325/816, 556/593, 624/115) = 2168400

LCM of 325/816, 556/593, 624/115

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 325/816,556/593,624/115

Given numbers are 325/816,556/593,624/115

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 325,556,624

Least Common Multiple of Numerators i.e. LCM of 325,556,624 is 2168400.

GCF of Denominators means GCF of 816,593,115 as per the given fractions.

GCF of 816,593,115 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 325,556,624

LCM of Fractions 325/816,556/593,624/115 is 2168400

2 325, 556, 624
2 325, 278, 312
13 325, 139, 156
25, 139, 12

∴ So the LCM of the given numbers is 2 x 2 x 13 x 25 x 139 x 12 = 2168400

Least Common Multiple of 325,556,624 with GCF Formula

Least Common Multiple of 325,556,624 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 325,556,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(325,556,624) = 1

common factors(in case of two or more numbers have common factors) = 52

GCF(325,556,624) x common factors =1 x 52 = 52

LCM(325,556,624) = ( 325 × 556 × 624 ) / 52

LCM(325,556,624) = 112756800 / 52

LCM(325,556,624) = 2168400


Lets's calculate GCF of 816,593,115

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2168400/1

Therefore the LCM of Fractions 325/816,556/593,624/115 is 2168400

Greatest Common Factor of 816,593,115 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,593,115 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1,593

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Greatest Common Factor

We found the factors 816,593,115 . The biggest common factor number is the GCF number.
So the greatest common factor 816,593,115 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 325/816, 556/593, 624/115

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 325/816, 556/593, 624/115?

Answer: LCM of Numerators as per given numbers 325/816, 556/593, 624/115 is

LCM of Numerators i.e. for 325,556,624 is 2168400

GCF of denominators i.e. for 816,593,115 is 1.

Thus, LCM of Fractions is 2168400.Finally, LCM of Fractions for 325/816, 556/593, 624/115 is 2168400.