Least Common Multiple of 59/997, 23/920, 320/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 59/997, 23/920, 320/500 quickly i.e. 434240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/997, 23/920, 320/500 is 434240.

LCM(59/997, 23/920, 320/500) = 434240

LCM of 59/997, 23/920, 320/500

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 59/997,23/920,320/500

Given numbers are 59/997,23/920,320/500

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 59,23,320

Least Common Multiple of Numerators i.e. LCM of 59,23,320 is 434240.

GCF of Denominators means GCF of 997,920,500 as per the given fractions.

GCF of 997,920,500 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,23,320

LCM of Fractions 59/997,23/920,320/500 is 434240

Given numbers has no common factors except 1. So, there LCM is their product i.e 434240

Least Common Multiple of 59,23,320 with GCF Formula

Least Common Multiple of 59,23,320 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 59,23,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,23,320) = 1

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

GCF(59,23,320) x common factors =1 x 1 = 1

LCM(59,23,320) = ( 59 × 23 × 320 ) / 1

LCM(59,23,320) = 434240 / 1

LCM(59,23,320) = 434240


Lets's calculate GCF of 997,920,500

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 434240/1

Therefore the LCM of Fractions 59/997,23/920,320/500 is 434240

Greatest Common Factor of 997,920,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 997,920,500 By Matching Biggest Common Factor Method

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 997,920,500 . The biggest common factor number is the GCF number.
So the greatest common factor 997,920,500 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 59/997, 23/920, 320/500

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 59/997, 23/920, 320/500?

Answer: LCM of Numerators as per given numbers 59/997, 23/920, 320/500 is

LCM of Numerators i.e. for 59,23,320 is 434240

GCF of denominators i.e. for 997,920,500 is 1.

Thus, LCM of Fractions is 434240.Finally, LCM of Fractions for 59/997, 23/920, 320/500 is 434240.