Least Common Multiple of 516/197, 327/773, 294/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 516/197, 327/773, 294/225 quickly i.e. 2755956 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 516/197, 327/773, 294/225 is 2755956.

LCM(516/197, 327/773, 294/225) = 2755956

LCM of 516/197, 327/773, 294/225

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 516/197,327/773,294/225

Given numbers are 516/197,327/773,294/225

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 516,327,294

Least Common Multiple of Numerators i.e. LCM of 516,327,294 is 2755956.

GCF of Denominators means GCF of 197,773,225 as per the given fractions.

GCF of 197,773,225 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 516,327,294

LCM of Fractions 516/197,327/773,294/225 is 2755956

2 516, 327, 294
3 258, 327, 147
86, 109, 49

∴ So the LCM of the given numbers is 2 x 3 x 86 x 109 x 49 = 2755956

Least Common Multiple of 516,327,294 with GCF Formula

Least Common Multiple of 516,327,294 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 516,327,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,327,294) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(516,327,294) x common factors =3 x 6 = 18

LCM(516,327,294) = ( 516 × 327 × 294 ) / 18

LCM(516,327,294) = 49607208 / 18

LCM(516,327,294) = 2755956


Lets's calculate GCF of 197,773,225

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2755956/1

Therefore the LCM of Fractions 516/197,327/773,294/225 is 2755956

Greatest Common Factor of 197,773,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 197,773,225 By Matching Biggest Common Factor Method

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 197,773,225 . The biggest common factor number is the GCF number.
So the greatest common factor 197,773,225 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 516/197, 327/773, 294/225

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 516/197, 327/773, 294/225?

Answer: LCM of Numerators as per given numbers 516/197, 327/773, 294/225 is

LCM of Numerators i.e. for 516,327,294 is 2755956

GCF of denominators i.e. for 197,773,225 is 1.

Thus, LCM of Fractions is 2755956.Finally, LCM of Fractions for 516/197, 327/773, 294/225 is 2755956.