Least Common Multiple of 727/297, 395/513, 351/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 727/297, 395/513, 351/104 quickly i.e. 100794915 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 727/297, 395/513, 351/104 is 100794915.

LCM(727/297, 395/513, 351/104) = 100794915

LCM of 727/297, 395/513, 351/104

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 727/297,395/513,351/104

Given numbers are 727/297,395/513,351/104

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 727,395,351

Least Common Multiple of Numerators i.e. LCM of 727,395,351 is 100794915.

GCF of Denominators means GCF of 297,513,104 as per the given fractions.

GCF of 297,513,104 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 727,395,351

LCM of Fractions 727/297,395/513,351/104 is 100794915

Given numbers has no common factors except 1. So, there LCM is their product i.e 100794915

Least Common Multiple of 727,395,351 with GCF Formula

Least Common Multiple of 727,395,351 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 727,395,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(727,395,351) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(727,395,351) x common factors =1 x 1 = 1

LCM(727,395,351) = ( 727 × 395 × 351 ) / 1

LCM(727,395,351) = 100794915 / 1

LCM(727,395,351) = 100794915


Lets's calculate GCF of 297,513,104

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100794915/1

Therefore the LCM of Fractions 727/297,395/513,351/104 is 100794915

Greatest Common Factor of 297,513,104 By Matching Biggest Common Factor Method

Greatest Common Factor of 297,513,104 By Matching Biggest Common Factor Method

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Greatest Common Factor

We found the factors 297,513,104 . The biggest common factor number is the GCF number.
So the greatest common factor 297,513,104 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 727/297, 395/513, 351/104

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 727/297, 395/513, 351/104?

Answer: LCM of Numerators as per given numbers 727/297, 395/513, 351/104 is

LCM of Numerators i.e. for 727,395,351 is 100794915

GCF of denominators i.e. for 297,513,104 is 1.

Thus, LCM of Fractions is 100794915.Finally, LCM of Fractions for 727/297, 395/513, 351/104 is 100794915.