Least Common Multiple of 82/299, 9870/2099

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/299, 9870/2099 quickly i.e. 404670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/299, 9870/2099 is 404670.

LCM(82/299, 9870/2099) = 404670

LCM of 82/299, 9870/2099

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 82/299,9870/2099

Given numbers are 82/299,9870/2099

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 82,9870

Least Common Multiple of Numerators i.e. LCM of 82,9870 is 404670.

GCF of Denominators means GCF of 299,2099 as per the given fractions.

GCF of 299,2099 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,9870

LCM of Fractions 82/299,9870/2099 is 404670

2 82, 9870
41, 4935

∴ So the LCM of the given numbers is 2 x 41 x 4935 = 404670

Least Common Multiple of 82,9870 with GCF Formula

Least Common Multiple of 82,9870 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 82,9870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,9870) = 2

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

GCF(82,9870) x common factors =2 x 1 = 2

LCM(82,9870) = ( 82 × 9870 ) / 2

LCM(82,9870) = 809340 / 2

LCM(82,9870) = 404670


Lets's calculate GCF of 299,2099

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 404670/1

Therefore the LCM of Fractions 82/299,9870/2099 is 404670

Greatest Common Factor of 299,2099 By Matching Biggest Common Factor Method

Greatest Common Factor of 299,2099 By Matching Biggest Common Factor Method

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 2099

List of positive integer factors of 2099 that divides 2099 without a remainder.

1,2099

Greatest Common Factor

We found the factors 299,2099 . The biggest common factor number is the GCF number.
So the greatest common factor 299,2099 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 82/299, 9870/2099

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 82/299, 9870/2099?

Answer: LCM of Numerators as per given numbers 82/299, 9870/2099 is

LCM of Numerators i.e. for 82,9870 is 404670

GCF of denominators i.e. for 299,2099 is 1.

Thus, LCM of Fractions is 404670.Finally, LCM of Fractions for 82/299, 9870/2099 is 404670.