Least Common Multiple of 17/590, 8341/9927

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 17/590, 8341/9927 quickly i.e. 141797 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/590, 8341/9927 is 141797.

LCM(17/590, 8341/9927) = 141797

LCM of 17/590, 8341/9927

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 17/590,8341/9927

Given numbers are 17/590,8341/9927

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 17,8341

Least Common Multiple of Numerators i.e. LCM of 17,8341 is 141797.

GCF of Denominators means GCF of 590,9927 as per the given fractions.

GCF of 590,9927 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,8341

LCM of Fractions 17/590,8341/9927 is 141797

Given numbers has no common factors except 1. So, there LCM is their product i.e 141797

Least Common Multiple of 17,8341 with GCF Formula

Least Common Multiple of 17,8341 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 17,8341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,8341) = 1

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

GCF(17,8341) x common factors =1 x 1 = 1

LCM(17,8341) = ( 17 × 8341 ) / 1

LCM(17,8341) = 141797 / 1

LCM(17,8341) = 141797


Lets's calculate GCF of 590,9927

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141797/1

Therefore the LCM of Fractions 17/590,8341/9927 is 141797

Greatest Common Factor of 590,9927 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,9927 By Matching Biggest Common Factor Method

Factors of 590

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

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

Factors of 9927

List of positive integer factors of 9927 that divides 9927 without a remainder.

1,3,9,1103,3309,9927

Greatest Common Factor

We found the factors 590,9927 . The biggest common factor number is the GCF number.
So the greatest common factor 590,9927 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 17/590, 8341/9927

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 17/590, 8341/9927?

Answer: LCM of Numerators as per given numbers 17/590, 8341/9927 is

LCM of Numerators i.e. for 17,8341 is 141797

GCF of denominators i.e. for 590,9927 is 1.

Thus, LCM of Fractions is 141797.Finally, LCM of Fractions for 17/590, 8341/9927 is 141797.