Least Common Multiple of 189/10, 449/4196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 189/10, 449/4196 quickly i.e. 84861/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 189/10, 449/4196 is 84861/2.

LCM(189/10, 449/4196) = 84861/2

LCM of 189/10, 449/4196

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 189/10,449/4196

Given numbers are 189/10,449/4196

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 189,449

Least Common Multiple of Numerators i.e. LCM of 189,449 is 84861.

GCF of Denominators means GCF of 10,4196 as per the given fractions.

GCF of 10,4196 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 189,449

LCM of Fractions 189/10,449/4196 is 84861/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 84861

Least Common Multiple of 189,449 with GCF Formula

Least Common Multiple of 189,449 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 189,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,449) = 1

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

GCF(189,449) x common factors =1 x 1 = 1

LCM(189,449) = ( 189 × 449 ) / 1

LCM(189,449) = 84861 / 1

LCM(189,449) = 84861


Lets's calculate GCF of 10,4196

2 10, 4196
5, 2098

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84861/2

Therefore the LCM of Fractions 189/10,449/4196 is 84861/2

Greatest Common Factor of 10,4196 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,4196 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 4196

List of positive integer factors of 4196 that divides 4196 without a remainder.

1,2,4,1049,2098,4196

Greatest Common Factor

We found the factors 10,4196 . The biggest common factor number is the GCF number.
So the greatest common factor 10,4196 is 2.


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 189/10, 449/4196

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 189/10, 449/4196?

Answer: LCM of Numerators as per given numbers 189/10, 449/4196 is

LCM of Numerators i.e. for 189,449 is 84861

GCF of denominators i.e. for 10,4196 is 2.

Thus, LCM of Fractions is 84861/2.Finally, LCM of Fractions for 189/10, 449/4196 is 84861/2.