Least Common Multiple of 83/982, 6584/4205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 83/982, 6584/4205 quickly i.e. 546472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/982, 6584/4205 is 546472.

LCM(83/982, 6584/4205) = 546472

LCM of 83/982, 6584/4205

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 83/982,6584/4205

Given numbers are 83/982,6584/4205

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 83,6584

Least Common Multiple of Numerators i.e. LCM of 83,6584 is 546472.

GCF of Denominators means GCF of 982,4205 as per the given fractions.

GCF of 982,4205 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,6584

LCM of Fractions 83/982,6584/4205 is 546472

Given numbers has no common factors except 1. So, there LCM is their product i.e 546472

Least Common Multiple of 83,6584 with GCF Formula

Least Common Multiple of 83,6584 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 83,6584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,6584) = 1

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

GCF(83,6584) x common factors =1 x 1 = 1

LCM(83,6584) = ( 83 × 6584 ) / 1

LCM(83,6584) = 546472 / 1

LCM(83,6584) = 546472


Lets's calculate GCF of 982,4205

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 546472/1

Therefore the LCM of Fractions 83/982,6584/4205 is 546472

Greatest Common Factor of 982,4205 By Matching Biggest Common Factor Method

Greatest Common Factor of 982,4205 By Matching Biggest Common Factor Method

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Factors of 4205

List of positive integer factors of 4205 that divides 4205 without a remainder.

1,5,29,145,841,4205

Greatest Common Factor

We found the factors 982,4205 . The biggest common factor number is the GCF number.
So the greatest common factor 982,4205 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 83/982, 6584/4205

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 83/982, 6584/4205?

Answer: LCM of Numerators as per given numbers 83/982, 6584/4205 is

LCM of Numerators i.e. for 83,6584 is 546472

GCF of denominators i.e. for 982,4205 is 1.

Thus, LCM of Fractions is 546472.Finally, LCM of Fractions for 83/982, 6584/4205 is 546472.