Least Common Multiple of 83/199, 841/99, 506/256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/199, 841/99, 506/256 quickly i.e. 35320318 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/199, 841/99, 506/256 is 35320318.

LCM(83/199, 841/99, 506/256) = 35320318

LCM of 83/199, 841/99, 506/256

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 83/199,841/99,506/256

Given numbers are 83/199,841/99,506/256

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 83,841,506

Least Common Multiple of Numerators i.e. LCM of 83,841,506 is 35320318.

GCF of Denominators means GCF of 199,99,256 as per the given fractions.

GCF of 199,99,256 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,841,506

LCM of Fractions 83/199,841/99,506/256 is 35320318

Given numbers has no common factors except 1. So, there LCM is their product i.e 35320318

Least Common Multiple of 83,841,506 with GCF Formula

Least Common Multiple of 83,841,506 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 83,841,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,841,506) = 1

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

GCF(83,841,506) x common factors =1 x 1 = 1

LCM(83,841,506) = ( 83 × 841 × 506 ) / 1

LCM(83,841,506) = 35320318 / 1

LCM(83,841,506) = 35320318


Lets's calculate GCF of 199,99,256

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35320318/1

Therefore the LCM of Fractions 83/199,841/99,506/256 is 35320318

Greatest Common Factor of 199,99,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 199,99,256 By Matching Biggest Common Factor Method

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 199,99,256 . The biggest common factor number is the GCF number.
So the greatest common factor 199,99,256 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 83/199, 841/99, 506/256

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 83/199, 841/99, 506/256?

Answer: LCM of Numerators as per given numbers 83/199, 841/99, 506/256 is

LCM of Numerators i.e. for 83,841,506 is 35320318

GCF of denominators i.e. for 199,99,256 is 1.

Thus, LCM of Fractions is 35320318.Finally, LCM of Fractions for 83/199, 841/99, 506/256 is 35320318.