Least Common Multiple of 590/92, 329/56, 743/57

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 590/92, 329/56, 743/57 quickly i.e. 144223730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 590/92, 329/56, 743/57 is 144223730.

LCM(590/92, 329/56, 743/57) = 144223730

LCM of 590/92, 329/56, 743/57

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 590/92,329/56,743/57

Given numbers are 590/92,329/56,743/57

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 590,329,743

Least Common Multiple of Numerators i.e. LCM of 590,329,743 is 144223730.

GCF of Denominators means GCF of 92,56,57 as per the given fractions.

GCF of 92,56,57 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 590,329,743

LCM of Fractions 590/92,329/56,743/57 is 144223730

Given numbers has no common factors except 1. So, there LCM is their product i.e 144223730

Least Common Multiple of 590,329,743 with GCF Formula

Least Common Multiple of 590,329,743 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 590,329,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(590,329,743) = 1

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

GCF(590,329,743) x common factors =1 x 1 = 1

LCM(590,329,743) = ( 590 × 329 × 743 ) / 1

LCM(590,329,743) = 144223730 / 1

LCM(590,329,743) = 144223730


Lets's calculate GCF of 92,56,57

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144223730/1

Therefore the LCM of Fractions 590/92,329/56,743/57 is 144223730

Greatest Common Factor of 92,56,57 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,56,57 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Greatest Common Factor

We found the factors 92,56,57 . The biggest common factor number is the GCF number.
So the greatest common factor 92,56,57 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 590/92, 329/56, 743/57

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 590/92, 329/56, 743/57?

Answer: LCM of Numerators as per given numbers 590/92, 329/56, 743/57 is

LCM of Numerators i.e. for 590,329,743 is 144223730

GCF of denominators i.e. for 92,56,57 is 1.

Thus, LCM of Fractions is 144223730.Finally, LCM of Fractions for 590/92, 329/56, 743/57 is 144223730.