Least Common Multiple of 721/91, 590/59, 323/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 721/91, 590/59, 323/368 quickly i.e. 137400970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 721/91, 590/59, 323/368 is 137400970.

LCM(721/91, 590/59, 323/368) = 137400970

LCM of 721/91, 590/59, 323/368

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 721/91,590/59,323/368

Given numbers are 721/91,590/59,323/368

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 721,590,323

Least Common Multiple of Numerators i.e. LCM of 721,590,323 is 137400970.

GCF of Denominators means GCF of 91,59,368 as per the given fractions.

GCF of 91,59,368 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 721,590,323

LCM of Fractions 721/91,590/59,323/368 is 137400970

Given numbers has no common factors except 1. So, there LCM is their product i.e 137400970

Least Common Multiple of 721,590,323 with GCF Formula

Least Common Multiple of 721,590,323 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 721,590,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(721,590,323) = 1

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

GCF(721,590,323) x common factors =1 x 1 = 1

LCM(721,590,323) = ( 721 × 590 × 323 ) / 1

LCM(721,590,323) = 137400970 / 1

LCM(721,590,323) = 137400970


Lets's calculate GCF of 91,59,368

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137400970/1

Therefore the LCM of Fractions 721/91,590/59,323/368 is 137400970

Greatest Common Factor of 91,59,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,59,368 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 91,59,368 . The biggest common factor number is the GCF number.
So the greatest common factor 91,59,368 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 721/91, 590/59, 323/368

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 721/91, 590/59, 323/368?

Answer: LCM of Numerators as per given numbers 721/91, 590/59, 323/368 is

LCM of Numerators i.e. for 721,590,323 is 137400970

GCF of denominators i.e. for 91,59,368 is 1.

Thus, LCM of Fractions is 137400970.Finally, LCM of Fractions for 721/91, 590/59, 323/368 is 137400970.