Least Common Multiple of 83/41, 721/54, 655/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/41, 721/54, 655/590 quickly i.e. 39197165 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/41, 721/54, 655/590 is 39197165.

LCM(83/41, 721/54, 655/590) = 39197165

LCM of 83/41, 721/54, 655/590

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 83/41,721/54,655/590

Given numbers are 83/41,721/54,655/590

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 83,721,655

Least Common Multiple of Numerators i.e. LCM of 83,721,655 is 39197165.

GCF of Denominators means GCF of 41,54,590 as per the given fractions.

GCF of 41,54,590 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,721,655

LCM of Fractions 83/41,721/54,655/590 is 39197165

Given numbers has no common factors except 1. So, there LCM is their product i.e 39197165

Least Common Multiple of 83,721,655 with GCF Formula

Least Common Multiple of 83,721,655 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 83,721,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,721,655) = 1

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

GCF(83,721,655) x common factors =1 x 1 = 1

LCM(83,721,655) = ( 83 × 721 × 655 ) / 1

LCM(83,721,655) = 39197165 / 1

LCM(83,721,655) = 39197165


Lets's calculate GCF of 41,54,590

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39197165/1

Therefore the LCM of Fractions 83/41,721/54,655/590 is 39197165

Greatest Common Factor of 41,54,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,54,590 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 41,54,590 . The biggest common factor number is the GCF number.
So the greatest common factor 41,54,590 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 83/41, 721/54, 655/590

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 83/41, 721/54, 655/590?

Answer: LCM of Numerators as per given numbers 83/41, 721/54, 655/590 is

LCM of Numerators i.e. for 83,721,655 is 39197165

GCF of denominators i.e. for 41,54,590 is 1.

Thus, LCM of Fractions is 39197165.Finally, LCM of Fractions for 83/41, 721/54, 655/590 is 39197165.