Least Common Multiple of 23/579, 43/297, 617/550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/579, 43/297, 617/550 quickly i.e. 610213 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/579, 43/297, 617/550 is 610213.

LCM(23/579, 43/297, 617/550) = 610213

LCM of 23/579, 43/297, 617/550

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 23/579,43/297,617/550

Given numbers are 23/579,43/297,617/550

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 23,43,617

Least Common Multiple of Numerators i.e. LCM of 23,43,617 is 610213.

GCF of Denominators means GCF of 579,297,550 as per the given fractions.

GCF of 579,297,550 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,43,617

LCM of Fractions 23/579,43/297,617/550 is 610213

Given numbers has no common factors except 1. So, there LCM is their product i.e 610213

Least Common Multiple of 23,43,617 with GCF Formula

Least Common Multiple of 23,43,617 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 23,43,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,43,617) = 1

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

GCF(23,43,617) x common factors =1 x 1 = 1

LCM(23,43,617) = ( 23 × 43 × 617 ) / 1

LCM(23,43,617) = 610213 / 1

LCM(23,43,617) = 610213


Lets's calculate GCF of 579,297,550

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 610213/1

Therefore the LCM of Fractions 23/579,43/297,617/550 is 610213

Greatest Common Factor of 579,297,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 579,297,550 By Matching Biggest Common Factor Method

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 579,297,550 . The biggest common factor number is the GCF number.
So the greatest common factor 579,297,550 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 23/579, 43/297, 617/550

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 23/579, 43/297, 617/550?

Answer: LCM of Numerators as per given numbers 23/579, 43/297, 617/550 is

LCM of Numerators i.e. for 23,43,617 is 610213

GCF of denominators i.e. for 579,297,550 is 1.

Thus, LCM of Fractions is 610213.Finally, LCM of Fractions for 23/579, 43/297, 617/550 is 610213.