Least Common Multiple of 742/591, 359/296, 727/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 742/591, 359/296, 727/625 quickly i.e. 193656806 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 742/591, 359/296, 727/625 is 193656806.

LCM(742/591, 359/296, 727/625) = 193656806

LCM of 742/591, 359/296, 727/625

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 742/591,359/296,727/625

Given numbers are 742/591,359/296,727/625

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 742,359,727

Least Common Multiple of Numerators i.e. LCM of 742,359,727 is 193656806.

GCF of Denominators means GCF of 591,296,625 as per the given fractions.

GCF of 591,296,625 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 742,359,727

LCM of Fractions 742/591,359/296,727/625 is 193656806

Given numbers has no common factors except 1. So, there LCM is their product i.e 193656806

Least Common Multiple of 742,359,727 with GCF Formula

Least Common Multiple of 742,359,727 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 742,359,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,359,727) = 1

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

GCF(742,359,727) x common factors =1 x 1 = 1

LCM(742,359,727) = ( 742 × 359 × 727 ) / 1

LCM(742,359,727) = 193656806 / 1

LCM(742,359,727) = 193656806


Lets's calculate GCF of 591,296,625

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 193656806/1

Therefore the LCM of Fractions 742/591,359/296,727/625 is 193656806

Greatest Common Factor of 591,296,625 By Matching Biggest Common Factor Method

Greatest Common Factor of 591,296,625 By Matching Biggest Common Factor Method

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 591,296,625 . The biggest common factor number is the GCF number.
So the greatest common factor 591,296,625 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 742/591, 359/296, 727/625

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 742/591, 359/296, 727/625?

Answer: LCM of Numerators as per given numbers 742/591, 359/296, 727/625 is

LCM of Numerators i.e. for 742,359,727 is 193656806

GCF of denominators i.e. for 591,296,625 is 1.

Thus, LCM of Fractions is 193656806.Finally, LCM of Fractions for 742/591, 359/296, 727/625 is 193656806.