Least Common Multiple of 239/83, 849/5617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 239/83, 849/5617 quickly i.e. 202911 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 239/83, 849/5617 is 202911.

LCM(239/83, 849/5617) = 202911

LCM of 239/83, 849/5617

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 239/83,849/5617

Given numbers are 239/83,849/5617

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 239,849

Least Common Multiple of Numerators i.e. LCM of 239,849 is 202911.

GCF of Denominators means GCF of 83,5617 as per the given fractions.

GCF of 83,5617 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 239,849

LCM of Fractions 239/83,849/5617 is 202911

Given numbers has no common factors except 1. So, there LCM is their product i.e 202911

Least Common Multiple of 239,849 with GCF Formula

Least Common Multiple of 239,849 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 239,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(239,849) = 1

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

GCF(239,849) x common factors =1 x 1 = 1

LCM(239,849) = ( 239 × 849 ) / 1

LCM(239,849) = 202911 / 1

LCM(239,849) = 202911


Lets's calculate GCF of 83,5617

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 202911/1

Therefore the LCM of Fractions 239/83,849/5617 is 202911

Greatest Common Factor of 83,5617 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,5617 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 5617

List of positive integer factors of 5617 that divides 5617 without a remainder.

1,41,137,5617

Greatest Common Factor

We found the factors 83,5617 . The biggest common factor number is the GCF number.
So the greatest common factor 83,5617 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 239/83, 849/5617

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 239/83, 849/5617?

Answer: LCM of Numerators as per given numbers 239/83, 849/5617 is

LCM of Numerators i.e. for 239,849 is 202911

GCF of denominators i.e. for 83,5617 is 1.

Thus, LCM of Fractions is 202911.Finally, LCM of Fractions for 239/83, 849/5617 is 202911.