Least Common Multiple of 23/97, 55/30, 57/38, 17/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/97, 55/30, 57/38, 17/500 quickly i.e. 1225785 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/97, 55/30, 57/38, 17/500 is 1225785.

LCM(23/97, 55/30, 57/38, 17/500) = 1225785

LCM of 23/97, 55/30, 57/38, 17/500

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 23/97,55/30,57/38,17/500

Given numbers are 23/97,55/30,57/38,17/500

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 23,55,57,17

Least Common Multiple of Numerators i.e. LCM of 23,55,57,17 is 1225785.

GCF of Denominators means GCF of 97,30,38,500 as per the given fractions.

GCF of 97,30,38,500 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,55,57,17

LCM of Fractions 23/97,55/30,57/38,17/500 is 1225785

Given numbers has no common factors except 1. So, there LCM is their product i.e 1225785

Least Common Multiple of 23,55,57,17 with GCF Formula

Least Common Multiple of 23,55,57,17 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 23,55,57,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,55,57,17) = 1

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

GCF(23,55,57,17) x common factors =1 x 1 = 1

LCM(23,55,57,17) = ( 23 × 55 × 57 × 17 ) / 1

LCM(23,55,57,17) = 1225785 / 1

LCM(23,55,57,17) = 1225785


Lets's calculate GCF of 97,30,38,500

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1225785/1

Therefore the LCM of Fractions 23/97,55/30,57/38,17/500 is 1225785

Greatest Common Factor of 97,30,38,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,30,38,500 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

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 97,30,38,500 . The biggest common factor number is the GCF number.
So the greatest common factor 97,30,38,500 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 23/97, 55/30, 57/38, 17/500

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 23/97, 55/30, 57/38, 17/500?

Answer: LCM of Numerators as per given numbers 23/97, 55/30, 57/38, 17/500 is

LCM of Numerators i.e. for 23,55,57,17 is 1225785

GCF of denominators i.e. for 97,30,38,500 is 1.

Thus, LCM of Fractions is 1225785.Finally, LCM of Fractions for 23/97, 55/30, 57/38, 17/500 is 1225785.